Ph.D. in Mathematics – University of Jammu (1999)
Specialization: Functional Analysis and Operator Theory

Research Area: Sequence Spaces, Summability Theory, Matrix Transformations, Statistical Convergence

M.Sc. in Mathematics – University of Jammu (1992)

B.Sc. in Non-Medical – University of Jammu (1990)
Specialization: Physics, Chemistry, and Mathematics

• Associate Professor, Department of Mathematics
  Shri Mata Vaishno Devi University (SMVDU) (2019–Present)

  Assistant Professor (Level 3), Department of Mathematics
  Shri Mata Vaishno Devi University (SMVDU) (2016–2019)

  Assistant Professor (Level 2), Department of Mathematics
  Shri Mata Vaishno Devi University (SMVDU) (2011–2016)

  Assistant Professor (Level 1), Department of Mathematics
  Shri Mata Vaishno Devi University (SMVDU) (2007–2011)

  Lecturer, Education Department
  Government of Jammu & Kashmir (1999–2006)

Head, School of Mathematics – Shri Mata Vaishno Devi University (2022–Present)

Warden, Nilgiri Hostel – Student Welfare Department, Shri Mata Vaishno Devi University (2014–2017)

Member, DPS School Management Committee (University Representative) – DPS (2010–Present)

Principal Investigator – Research on Sequence Spaces and Summability Theory, with a focus on Functional Analysis and Operator Theory (Current)

Co-Investigator – Studies in Sequence Spaces and their Applications in Summability Theory, contributing to key areas of Functional Analysis (Ongoing)

Study of Orlicz Sequence Spaces and Their Operators – Funded by CSIR (2018–Present)

1. Devia Narrania, Kuldip Raj, Sunil K Sharma, Thwiba A Khalid, Arafa O Mustafa, Runda AA Bashir, Mustafa M Mohammed, Awad A Bakery, Decision-Making on Deferred Statistical Convergence of Measurable Functions of Two Variables, Contemporary Mathematics, 5(4) (2024), 5518-5533, https://doi.org/10.37256/cm.5420245513. (ESCI, Scopus)

2. Qing-Bo Cai, Samrati Gorka and Kuldip Raj, Deferred Riesz statistical convergence via power series method, Journal of Applied Mathematics and Computing, (2024), 1-18. (SCIE)

3. Sonali Sharma, Kuldip Raj, Sunil K Sharma, Thwiba A Khalid, Arafa O Mustafa, Mustafa M Mohammed, Runda AA Bashir, Awad A Bakery, International Journal of Analysis and Applications, 22 (2024) 181, https://doi.org/10.28924/2291-8639-22-2024-181. (ESCI, Scopus)

4. Samrati Gorka, Kuldip Raj and M. Mursaleen, Lacunary A-Statistical Convergence of Complex Uncertain Sequences via Orlicz Function, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 32(5) (2024), 781-799. (SCIE)

5. Seema Jamwal, Sonali Sharma, Kuldip Raj, Sunil K Sharma, Runda AA Bashir, Hala S Mahgoub, Albasha A Gouni, Awad A Bakery, Orlicz Extension of New Sequence Spaces Engendered by the Composition of Binomial Matrix and Double Band Matrix, International Journal of Analysis and Applications, 22 (2024), 177, https://doi.org/10.28924/2291-8639-22-2024-177. (ESCI,SCOPUS)

6. Kuldip Raj, M. Devi and M. Mursaleen, New product type operators acting between weighted Bergman–Orlicz spaces and some weighted-type spaces, The Journal of Analysis, (2024), 1-29.(

7. M. Aiyub, S. Sharma and Kuldip Raj, On almost deferred weighted convergence, Journal of applied mathematics & informatics, 42 (2) (2024). 245-256. (ESCI, Scopus)

8. Devia Narrania and Kuldip Raj, Approximation via statistical measurable convergence with respect to power series for double sequences, Forum Mathematicum, 36 (1) (2024), 53-64. https://doi.org/10.1515/forum-2022-0368.(SCIE)

9. Kuldip Raj, Devia Narrania, and Ayhan Esi. “Modulated Lacunary 𝒫-Statistical Convergence of order γ of Sequences of Fuzzy Functions.” New Mathematics and Natural Computation (2024). https://doi.org/10.1142/S1793005724500479 . (ESCI, Scopus)

10. Kuldip Raj, M. Devi, A. Esi and M. Aiyub, Generalized weighted composition operators acting between Dirichlet-type spaces and Bloch-type spaces. Int. J. Nonlinear Anal. Appl. In Press, 1-11. http://dx.doi.org/10.22075/ijnaa.2023.25200.2950.( ESCI, Scopus)

11. Rahul Kumar, Uday Pratap Singh, Arun Bali & Kuldip Raj ,Hybrid neural network controller for uncertain nonlinear discrete-time systems with non-symmetric dead zone and unknown disturbances, International Journal of Control, 96 (8) (2023), 2003-2011, DOI: 10.1080/00207179.2022.2080117.(SCIE)

12. Kuldip Raj and S. Sharma. On some characterizations of $Delta$-deferred weighted statistical boundedness. Acta Mathematica Universitatis Comenianae, 92(4) (2023), 301-312.(ESCI, Scopus)

13. D. Narrania, and Kuldip Raj. “Applications of deferred Lebesgue product measurable convergence to approximation theorems.” Asian-European Journal of Mathematics 16 (11) (2023): 2350210.(ESCI, Scopus)

14. S. Verma, Kuldip Raj, and S. K. Sharma. “A Common Fixed Point Theorem via Two and Three Mapping in Banach Algebra.” Journal of Mathematical Extension 17(2) (2023), paper no. 8,1-23. (ESCI, Scopus)

15. Kuldip Raj, Ayhan Esi and Charu Sharma, Orlicz-Lacunary bicomplex sequence spaces of difference operators, Filomat, 37 (8) (2023), 2421-2435. (SCIE)

16. Kuldip Raj and Swati Jasrotia, Deferred Norlund statistical convergence in probability, mean and distribution for sequences of random variables, Journal of Nonlinear analysis and its applications 16(2023), 41-50.

17. Kuldip Raj and Sonali Sharma, Applications of statistical Riemann and Lebesgue integrability of sequence of functions, Journal of Nonlinear Sciences and Applications, 16(2023), 30-40.

18. Sonali Sharma and Kuldip Raj, A new approach to Egorov’s theorem by means of αβ-statistical ideal convergence, Issues of Analysis, 12(30) (2023), 72-86. (ESCI)

19. Kuldip Raj, S. A. Mohiuddine and Swati Jasrotia, Characterization of summing operators in multiplier spaces of deferred Norlund summability, Positivity, 27(9) (2022), 1-13.(SCIE)

20. U. P. Singh, Swati Jasrotia and Kuldip Raj, Linear isomorphic spaces of Cesaro Norlund operator their duals and matrix transformations, Journal of Applied Analysis, 29(2023), 229-238, https://doi.org/10.1515/jaa-2022-2008. (ESCI)

21. Kuldip Raj, Kavita Saini and M. Mursaleen, Applications of the fractional difference operator for studying euler statistical convergence of sequence of fuzzy real numbers and associated Korovkin type theorems, Issues of Analysis, 11 (2022), 91-108. (ESCI)

22. Kuldip Raj, Sonali Sharma and M. Mursaleen, Almost λ-statistical convergence of complex uncertain sequences, International Journal of uncertainity Fuzziness and Knowledge-Based systems, 30(5)(2022), 795-811.https://doi.org/10.1142/S0218488522500234. (SCIE)

23. Kuldip Raj, Anu Choudhary, M. Aiyub and Sonali Sharma, Applications of Fibonacci matrix to characterize some Banach spaces through weakly unconditional Cauch series, Italian Journal of Pure and Applied Mathematics, 48(2022), 1049-1059. (ESCI)

24. Kuldip Raj, Anu Choudhary, M. Mursaleen, Bounds for the operator norm on weighted Cesaro fractional difference sequence spaces, Sahand Communications in Mathematical Analysis, 20(1)(2022), 19-34.(ESCI)

25. Lian-Ta Su, Kuldip Raj, Sonali Sharma and Qing-Bo Cai, Applications of relative statistical convergence and associated approximation theorem, AIMS Mathematics, 7(12)(2022), 20838-20849. (SCIE)

26. Kuldip Raj and Manisha Devi, Almost convergent sequence spaces defined by Norlund matrix and generalized difference matrix, Advances in Mathematical Analysis and its Applications. Chapman and Hall/CRC, 2022. 57-70. (Book Chapter)

27. Rahul Kumar, U. P. Singh, Arun Bali and Kuldip Raj, Hybrid neural network control for uncertain nonlinear Discrete- time systems with bounded disturbances, Wireless Personal Communications, 126(4) (2022) 3475-3494. (SCIE)

28. Kuldip Raj, Ayhan Esi and Charu Sharma, Matrix transformations and Toeplitz duals of generalized Orlicz Hilbert sequence spaces, Palestine Journal of Mathematics, 11(2) 55-68 (2022). (SCOPUS)

29. Kuldip Raj, Swati Jasrotia, Reza Saadati, Deferred Norlund statistical convergence in probability, mean and distribution for sequences of random variables, Journal of Nonlinear Sciences & Applications (JNSA) 16 (1) (2023), 41-50.

30. Swati Jasrotia, U. P. Singh and Kuldip Raj, Applications of statistically probability convergence to approximation theorem, Mathematical Methods in the Applied Sciences, 45(2) 4741-4751 (2022). (SCIE)

31. Rahul Kumar, U. P. Singh, Arun Bali and Kuldip Raj, Hybrid neural network controller for uncertain nonlinear Discrete time systems with Non-symmetric dead zone and unknown disturbances, International Journal of control, 96(2023), 2003-2011. https://doi.org/10.1080/00207179.2022.2080117. (SCIE)

32. Arun Bali, U. P. Singh, Rahul Kumar and Kuldip Raj, Hybrid neural network control for nonlinear continuous time systems with time delays and dead zone input, International Journal of Adaptive control and signal processing, 36(2022),1439-1459, DOI: 10.1002/acs.3403. (SCIE)

33. Anu Choudhary, Raj, Kuldip and M. Mursaleen, Compact operators on spaces of binomial fractional difference sequences, Math. Sci. (Springer), 16(2022), 79-85. (SCIE)

34. Raj Kuldip, Sandeep Sharma and Anu Choudhary, Orlicz difference triple lacunary ideal sequence spaces over n-normed spaces, Ann. Acad. Rom. Sci., 14(2022) 90-106.

35. Raj Kuldip, Ahyan Esi and Sharma Charu, Matrix Transformation and Toeplitz Duals of Generalized Orlicz Hilbert Sequence Spaces, Palest. J. Math., 11(2022) 55-68.

36. Raj Kuldip, Sharma Charu and Jasrotia Swati, Orlicz–Lacunary Convergent Double Sequences And Their Applications To Statistical convergence, Khayyam J. Math. 8 (2022), no. 1, 102-114. (SCOPUS)

37. Swati Jasrotia, Uday Pratap Singh and Raj Kuldip, Applications of statistically probability convergence to approximation theorem, Math. Methods Appl. Sci., 45(2022) 4741-4751, DOI: 10.1002/mma.8067. (SCIE)

38. Kuldip Raj, M. Ayuib and Kavita Saini, Linear isomorphic euler fractional difference sequence spaces and their toeplitz duals, Journal of Applied Mathematics & Informatics, 40(3-4) 657-668 2022. (ESCI)

39. Sonali Sharma, Uday Pratap Singh and Raj, Kuldip, Application of deferred Cesaro statistical convergence of sequences of fuzzy numbers of order (ξ, ω), J. Intell. Fuzzy Systems, 41 (2021) 7363–7372.
40. Manisha Devi , Kuldip Raj and Mohammad Mursaleen, Product type operator involving radial derivative operator acting between some analytic function spaces, Mathematics, 9(19), 2021, 2447.
41. Anu Choudhary, Swati Jasrotia and Kuldip Raj Application of fractional difference operators to develop binomial difference sequence spaces and their toeplitz duals, Indian J. Math. 63(2), 2021, 243-261.

42. Raj, Kuldip, Swati Jasrotia and Mohammad Mursaleen, Applications of Orlicz Pettis theorem in vector valued multiplier spaces of generalized weighted means fractional difference operators, Adv. Differ. Equ., 2021(1), 2021, 1-15.

43. Swati Jasrotia, Uday Pratap Singh and Raj, Kuldip, Compatible results on boundedness of matrix operators on weighted copson sequence spaces, Bol. Soc. Mat. Mex, 90(3), 2021, 309-325.

44. Raj, Kuldip and Kavita Saini, Intutionistic fuzzy generalized lucas Ideal convergent sequence spaces associated with Orlicz function, Soft Computing Techniques in Engineering, Health, Mathematical and Social Sciences, 2021, 155-179, DOI: 10.1201/9781003161707-10.

45. Kavita Saini, Raj, Kuldip and Mohammad Mursaleen, Deferred Cesaro and Deferred Euler Equi-statistical convergence and its application to Korovkin type approximation theorem, Int J. Gen Syst.,50(2021), 567-579 ( DOI 10.1080/03081079.2021.1942867).

46. Raj, Kuldip and S. A. Mohiuddine Application of Lacunary sequences to develop fuzzy sequence spaces for Ideal convergence and Orlicz functions, Eur. J. Appl. Math. , 13(5), (2020), 1131-1148.
47. Raj, Kuldip, Kavita Saini and Neeru Sawhney, Riesz lacunary sequence spaces of fractional difference operator, Kragujevac J. Math., 46(2) (2022), 283–294.

48. Swati Jasrotia, Uday Pratap Singh and Raj Kuldip, Applications of statistical convergence of order (η,δ+δ) in difference sequence spaces of fuzzy numbers, J. Intell. Fuzzy Systems, 40 (2021), 4695–4703.

49. Swati Jasrotia, Uday Pratap Singh and Raj Kuldip, Some new observations on Catalan almost convergent sequence spaces and Catalan core, Acta Sci. Math. (Szeged), 87(2021), 295-305.

50. Kavita Saini and Raj, Kuldip, Applications of statistical convergence in complex uncertain sequences via deferred Riesz mean, Internat. J. Uncertain. Fuzziness Knowledge-Based Systems, 29(3) (2021), 337-351.

51. Kavita Saini and Raj, Kuldip, On Generalization for Tribonacci Trigintaduonions, , Indian J. Pure Appl. Math., 52(2021), 420-428.

52. Seema Jamwal, Swati Jasrotia and Raj, Kuldip, Some applications of asymptotically equivalence of double sequence of sets in various aspects, Acta Math. Univ. Comenianae, 3(2021), 309-325.

53. S.A. Mohiuddine, Kuldip Raj, M. Mursaleen and Abdullah Alotaibi, Linear isomorphic spaces of fractional-order difference operators, Alexandria Engineering Journal, 60(2021), 1155-1164.

54. Raj, kuldip, Suruchi Pandoh and Kavita Saini, Toeplitz duals of Fibonacci sequence spaces, J. Comput. Anal. Appl., 29(5) (2021), 954-969.

55. Kavita Saini and Raj, Kuldip, Generalized zweier I-convergent sequence spaces of fuzzy numbers, J. Comput. Anal. Appl., 29(4) (2021), 658-667.

56. Manisha Devi , Ajay K. Sharma, and Kuldip Raj, Inequalities involving essential norm estimates of product type operators, Journal of Mathematics, 2021, Article ID 8811309, 9 pages, Doi.org/10.1155/2021/8811309.

57. S. A. Mohiuddine, Kuldip Raj and Anu Choudhary, Difference sequence spaces based on Lucas band matrix and modulus function, São Paulo J. Math. Sci., Doi.org/10.1007/s40863-020-00203-2.

58. Anu Choudhary, Kuldip Raj and M.Mursaleen, Applications of Tauberian theorems for double sequences of fuzzy numbers via De La Vallée Poussin mean, J. Intell. Fuzzy Systems., (2021) DOI:10.3233/JIFS-202921.

59. Kuldip Raj, Ayhan Esi and Sonali Sharma, Applications of infinite matrices and λ-convergence for fuzzy sequence spaces, Ann. Fuzzy Math. Inform.,21(2) (2021), 277-291.

60. Kuldip Raj and S. A. Mohiuddine, Applications of lacunary sequence to develop fuzzy sequence spaces for ideal convergence and Orlicz function, Eur. J. Pure Appl. Math., 13(5) (2020), 1131-1148.

61. Kilicman, Adem and Raj Kuldip, Matrix Transformations of Norlund-Orlicz difference sequence spaces of non-absolute type and their Toeplitz duals, Adv. Difference Equ., (2020) 2020:110 doi.org/10.1186/s13662-020-02567-3. (SCIE)

62. Raj, Kuldip and Anu Choudhary, Orlicz arithmetic convergence defined by matrix transformation and lacunary sequence, Songklanakarin J. Sci. Technol., 42 (2) (2020), 263-273.

63. A. Choudhary and Raj Kuldip, Applications of double difference fractional order operators to originate some spaces of sequences, J. Comput. Anal. Appl., 20 (2020), 94-103.

64. M. Devi, Ajay K. Sharma and Raj Kuldip, Weighted composition operators from Drichlet type spaces to some weighted type spaces, J. Comput. Anal. Appl., 28 (2020), 127-135.

65. Raj, Kuldip, Kavita Saini and Anu Choudhary, Orlicz lacunary sequence spaces of l-fractional difference operators, J. Appl. Anal., 26(2) (2020), 173–183

66. Raj, Kuldip and Charu Sharma, A relation of Banach limit and difference matrix to generate some orlicz sequence spaces, Proyecciones, 38(4) (2019), 647-663.

67. Raj, Kuldip , Renu Anand and Charu Sharma, Matrix transformation on lacunary sequence spaces and their Toeplitz duals, Houston J. Math., 45(3) (2019), 831-851.

68. Raj, Kuldip, A. Esi and Suruchi Pandoh, Applications of Riesz mean and lacunary sequences to generate Banach spaces and AK-BK spaces, An. Univ. Craiova Ser. Mat. Inform, 46 (1) (2019), 150-163.

69. Raj, Kuldip, Suruchi Pandoh and Anu Choudhary, Orlicz sequence spaces of four dimensional regular matrix and their closed ideal, Honam Mathematical J.. 41 (4) (2019), 725-744.

70. Raj, Kuldip and Anu Choudhary, Applications of Tauberian Theorems for Cesaro Orlicz double sequences, Politehn. Univ.Bucharest Sci.Bull. Ser. A Appl. Math. Phys., 81 (3) (2019), 127-138.

71. Raj, Kuldip and Suruchi Pandoh, On some spaces of Cesaro sequences of fuzzy number associated with λ-convergence and Orlicz function, Acta Univ. Sapientiae, Mathematica, 11 (2019), 156-171.

72. Raj, Kuldip and Anu Choudhary, Relative modular uniform approximation by means of power series method with applications, Rev. Un. Mat. Argentina, 60 (2019), 187-208 .

73. Raj Kuldip and Seema Jamwal , Difference sequence spaces for K-functions and its extension to double by a new matrix theoretic approach, Anna. Acad. Rom. Sci. Ser. Math. Appl., 11(1)(2019), 5-23.

74. Raj, Kuldip and Anu Choudhary, Kothe-Orlicz vector-valued weakly sequence spaces of difference operators, Methods Funct. Anal. Topology, 25 (2) (2019), 161-176.

75. Raj, Kuldip and Charu Sharma, Applications of non-newtonian calculus for classical spaces and Orlicz functions, Afr. Mat., 30 (2019), 297-309.

76. Ajay K. Sharma, Mehak Sharma and Raj, Kuldip, Composition operators on the Dirichlet space of the upper half plane, New York J. Math., 25 (2019) 198-206.

77. Raj, Kuldip, Renu Anand and Suruchi Pandoh, Cesaro Orlicz sequence spaces and their Kothe Toeplitz duals, Math. J. Okayama Univ., 61 (2019), 141-158.

78. Abdullah Alotaibi, Raj, Kuldip, Ali H. Alkhaldi and S. A. Mohiuddine, Lacunary sequence spaces defined by Euler transform and Orlicz functions, J. Comput. Anal. Appl., Vol 27 (2019), 770-780.

79. Raj, Kuldip and Charu Sharma, Essential norm of weighted composition operators, Analysis (Berlin), 38(3)(2018), 145-153,doi.org/10.1515/anly-2017-0027.

80. Raj, Kuldip and Anu Choudhary, Lacunary sequence spaces of Orlicz function and infinte matrix, Acta Math. Acad. Paedagog. Nyházi. (N.S.), 34 (2018).

81. Anand, Renu , Sharma, Charu and Raj, Kuldip, Seminormed double sequence spaces of four dimensional matrix and Musielak-Orlicz function, J. Inequal. Appl., 2018, 2018:285.

82. Raj, Kuldip, Suruchi Pandoh and Manisha Devi, Orlicz b-metric spaces of infinite matrix and their Kothe Toeplitz duals, J. Interdiscip. Math., 21 (7-8) , (2018), 1587-1595.

83. Raj, Kuldip, S. A. Mohiuddine and M. A. Mursaleen, Some generalized sequence spaces of invariant means defined by ideal and modulus functions in n-normed spaces, Italian J. Pure Appl., 39 (2018), 579–595.

84. Raj, Kuldip, Charu Sharma and Anu Choudhary, Applications of Tauberian theorem in Orlicz spaces of double difference sequences of fuzzy numbers, J. Intell. Fuzzy Systems, 35(2018), 2513-2524, DOI: 10.3233/JIFS-18195.

85. Raj, Kuldip and Adem Kilicman, Orlicz strongly convergent sequences with some applications to Fourier series and statistical convergence, New Trends Math. Sci., 6 (2018), 212-226.

86. Raj, Kuldip and Renu Anand, On statistical convergence in generalized lacunary sequence spaces, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2 (87) (2018), 17-29.

87. Raj, Kuldip and Charu Sharma, Some difference sequence spaces of infinite Matrix and Orlicz function, Adv. Stud. Contemp. Math., 28 (2018), 369-380.

88. Raj, Kuldip and M. A. Khan, A Method of Sliding Window Convergence of Measurable Functions via Orlicz Function, Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, 25 (2018) 53-66.

89. Raj, Kuldip, Charu Sharma and Suruchi Pandoh, On some generalized spaces of sequences via Riesz mean and Musielak-Orlicz function, Southeast Asian Bulletin Math., 42 (2018), 251–266.

90. Charu Sharma, S. A. Mohouddine , Raj, Kuldip and A. H. Alkhaldi, Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces J. Inequal. Appl., 2018, 2018: 34.

91. Sunil K. Sharma, Raj, Kuldip and Ajay K. Sharma, Some sequence spaces of invariant means and lacunary defined by a Musielak-Orlicz function over n-normed spaces, Tbilisi Math. J., 11(2018), 31-44

92. M. Mursaleen and Raj, Kuldip, Some vector valued sequence spaces of Musielak Orlicz function and their operator ideals, Math. Slovaca, 68 (2018), 115-134.

93. Raj, Kuldip and Charu Sharma, A connection between infinite matrix and seminorm to originate Orlicz vector valued sequence spaces and their statistical convergence, Commun. Appl. Anal., 22 (2018), 163-186.

94. Raj, Kuldip and Charu Sharma, Applications of four dimensional matrices to generating some roughly I2-convergent double sequence spaces, An. Ştiinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.), 64 (2018), 293-308.

95. Raj, Kuldip and Renu Anand, Double difference spaces of almost null and almost convergent sequences for Orlicz function, J. Comput. Anal. Appl., 24 (2018), 773-783.

96. M. Mursaleen and Raj, Kuldip, Sliding window convergence and lacunary statistical convergence for measureable functions via modulus function, Bol. Soc. Paran. Mat., 36 (2018), 161-174.

97. Raj, Kuldip, Anu Choudhary and Charu Sharma, Almost strongly Orlicz double sequence spaces of regular matrices and their applications to statistical convergence, Asian-Eur. J. Math., Vol.11 No.5 (2018), 1850073,(14pages).doi.org/10.1142/S1793557118500730.

98. Raj, Kuldip and Renu Anand, On Statistical Convergence in generalized Lacunary sequence spaces, Bul. Acad. Ştiinţe Repub. Mold. Mat., 84 (2018), 17-29

99. Raj, Kuldip and Charu Sharma, Ideal convergent generalized difference sequence spaces of infinite matrix and Orlicz function, Italian J. Pure Appl. Math., 40(2018), 34-46.

100. Raj, Kuldip, A. Esi and S. Jamwal, Orlicz–Quasi–Cauchy Double Sequence Spaces for RH–Regular Matrix, J. Class. Anal., 10 (2017), 67-76.

101. Raj, Kuldip and Seema Jamwal, On Non-Absolute Type Spaces and their kothe-Toeplitz Duals, Trans. A. Razmadze Math. Inst., 171 (2017), 212-220.

102. S. A. Mohiuddine and Raj, Kuldip, Vector valued Orlicz-Lorentz sequence spaces and their operator ideals, J. Nonlinear Sci. Appl., 10 (2017), 338–353.

103. Raj, Kuldip and Charu Sharma, Applications of infinite matrices in non-Newtonian calculus for paranormed spaces and their toeplitz duals, Facta Universitatis, Ser. Math. Inform., 32 (2017), 527-549.

104. Raj, Kuldip and Renu Anand, Complete Paranormed Orlicz Lorentz sequence spaces over n-normed spaces, J. Egyptian Math. Soc., 20 (2017), 151-154.

105. Raj, Kuldip, Azimhan A and Ashirbayev K, Some generalized difference sequence spaces of ideal convergence and Orlicz functions, J. Comput. Anal. Appl., 22 (2017), 52-63.

106. Raj, Kuldip and Suruchi Pandoh, Some generalized lacunary double Zweier Convergent Sequence spaces, Comment. Math., 56 (2016), 185−207.

107. Raj, Kuldip, Charu Sharma and Suruchi Pandoh, Multiplication operators on Cesaro-Orlicz sequence spaces, Fasc. Math., 57 (2016), 137-145.

108. Raj, Kuldip and Suruchi Pandoh, On some generalized spaces of interval numbers with an infinite matrix and Musielak-Orlicz function, Khayyam J. Math., 2 (2016), 25-38

109. Raj, Kuldip and Charu Sharma, Applications of strongly convergent sequences to Fourier series by means of modulus functions, Acta Math. Hungar., 150 (2016), 396-411.

110. Raj, Kuldip and Renu Anand , On some new difference sequence spaces derived by using Riesz mean and a Musielak-Orlicz function, Konuralp J. Math., 4 (2016), 56-69.

111. Raj, Kuldip and Charu Sharma, On Lacunary statistical Quasi-Cauchy sequences in n-normed spaces, J. Math. Anal., 7(2016), 64-73.

112. Raj, Kuldip and Seema Jamwal, Applications of statistical convergence to n-normed spaces, Adv. Pure Appl. Math., 7 (2016), 197-204.

113. M. Mursaleen , A. Aghajani and Raj, Kuldip, Multiplication Operators on Cesaro function spaces, Filomat, 30 (2016), 1175-1184.

114. Raj, Kuldip, Renu Anand and Seema Jamwal , On g-Statistical Convergence in paranormed spaces, European J. Pure Appl. Math., 9 (2016), 464-478.

115. Raj, Kuldip and Suruchi Pandoh, Generalized lacunary strong Zweier Convergent Sequence spaces, Toyama Math. J., 38 (2016), 9-33.

116. Raj, Kuldip and M. Arsalan Khan, Some spaces of double sequences their duals and matrix transformations, Azerb. J. Math., 6 (2016), 19pp.

117. B. S. Komal, Raj, Kuldip and Suruchi Pandoh, Multiplication operators on Cesaro Sequence spaces, Demonstratio Mathematica, 49(2016), 430-436.

118. Suruchi Pandoh and Raj, Kuldip, Generalized Cesaro-Orlicz double sequence sequence spaces over n-normed spaces, J. Nonlinear Anal. Optim., 6 (2015), 53-65.

119. Raj, Kuldip and Suruchi Pandoh, Some sequence spaces of fuzzy numbers for Orlicz functions and partial metric, Kochi J. Math., 11 (2015), 13-33.

120. Suruchi Pandoh and Raj, Kuldip, Applications of – Statistical Convergence in Intuitionistic Fuzzy n- normed spaces, Journal of inequalities and Special Functions, 6(2015), 1-10.

121. Raj, Kuldip and Suruchi Pandoh, On certain spaces of double sequences by De la Vallee-Pousin mean, Asian-Eur. J. Math.,. 8(4) (2015), 1550079 (20 pages) DOI: 10.1142/S1793557115500783.

122. Raj, Kuldip, Anand, Renu and Jamwal, Seema, Some double lambda convergent sequence spaces over n-normed Spaces, Aust. J. Math. Anal. Appl., 12(2015) 1-16.

123. Raj, Kuldip and Sharma Sunil K, Applications of double lacunary sequences to n-norm, Acta Univ. Sapientiae Mathematica, 7 (2015), 67-88.

124. Raj, Kuldip and Sharma Sunil K., Some seminormed difference sequence spaces defined by Musielak Orlicz function over n-normed spaces, J. Math. Appl. 38 (2015), 125-141.

125. Raj, Kuldip and Adem Kilicman, On certain generalized paranormed spaces, J. Inequal. Appl., 2015, 2015: 37.

126. A. Alotaibi., Raj, Kuldip and S. A.Mohiuddine, Some generalized difference sequence spaces defined by a sequence of moduli in n- normed spaces, J. Funct. Spaces, Vol. 2015 (2015), Article ID 413850, 8-pages.

127. M. Mursaleen, Raj, Kuldip and Sunil K. Sharma, Some spaces of difference sequences and Lacunary statistical convergence in n- normed spaces defined by a sequence of Orlicz functions, Miskolc Math. Notes, 16 (2015), 283–304.

128. Raj, Kuldip and Suruchi Pandoh, Some vector valued statistical convergent sequence spaces, Malaya J. Mat., 3(2015), 161-167.

129. Raj, Kuldip, Suruchi Pandoh and Seema Jamwal, Fibonacci difference sequence spaces defined by a sequence of modulus functions, Le Matematiche, 70(2015), 137-156.

130. Raj, Kuldip and Seema Jamwal, On generalized I-convergent paranormed spaces, Mathematical Sciences Letters, 4(2015), 165-170.

131. Raj, Kuldip and Ayhan Esi, On Some I-Convergent Sequence Spaces Over n- Normed Spaces, J. Ana. Num. Theor., 3(2015), 21-26.

132. Raj, Kuldip and Suruchi Pandoh, On some Zweier I-convergent difference sequence spaces, J. Appl. Funct. Anal., 10 (2015), 143-163.

133. Raj, Kuldip and Jamwal, Seema , On some generalized statistical convergent sequence spaces, Kuwait J. Sci., 42(3) (2015), 86-104.

134. Seema Jamwal and Raj, Kuldip, An Orlicz extension of difference modular sequence spaces, Bol. Soc. Paran. Mat., 33 (2015), 31-57.

135. Raj, Kuldip, On certain classes of generalized sequences, Aligarh Bulletin of Mathematics, 33 (2014), 77-85.

136. S. A. Mohiuddine, Raj, Kuldip and A. Alotaibi, Generalized spaces of double sequences for Orlicz functions and bounded regular matrices over n-normed spaces, J. Inequal. Appl., 2014, 2014:332.

137. Raj, Kuldip and Suruchi Pandoh, On some Zweier Ideal convergent sequence spaces, Proc. Jangjeon Math. Soc. 17(2014), 567-588.

138. Seema Jamwal and Raj, Kuldip, Double difference sequence spaces , J. Math. Anal., 5 (2014), 1-8.

139. Abdullah Alotaibi, M. Mursaleen and Raj, Kuldip, Double sequence spaces by means of Orlicz functions, Abstr. Appl. Anal. ,Volume 2014,Article ID260326, 8pages.

140. S. A. Mohiuddine, Raj, Kuldip and A. Alotaibi1, On some classes of double difference sequences of interval numbers, Abstr. Appl. Anal.,Volume 2014, Article ID 516956, 8 pages.

141. Raj, Kuldip and Sharma Sunil K., Ideal convergent sequence spaces defined by Musielak – Orlicz function over n-normed spaces, Acta Univ. Apulensis Math. Inform., 37 (2014), 229-240.

142. Raj, Kuldip and Adem Kilicman, On generalized difference Hahn sequence spaces, Sci. World J., Vol. 2014, ID 398203, 7 pages.

143. Raj, Kuldip, Sharma, Sunil K. and Gupta, Amit, Some difference paranormed sequence spaces over n-normed spaces defined by Musielak – Orlicz function, Kyungpook Math. J., 54 (2014), 73-86 .
144. Raj Kuldip and Sharma Sunil K., Some multiplier generalized difference sequence spaces over n-normed spaces defined by a Musielak-Orlicz function, Siberian Adv. Math., 24 (2014), 193-203.
145. Raj Kuldip, Sharma Sunil K. and Kumar Anil, Double Entire difference sequence spaces of Fuzzy numbers, Bull. Malays. Math. Sci. Soc., 37 (2014), 369–382.
146. Raj, Kuldip and Sharma, Sunil K., Double sequence spaces over n-normed spaces, Arch. Math., 50 (2014), 7-18.
147. Raj, Kuldip and Sharma, Sunil K., Some multiplier sequence spaces over n- normed spaces defined by Musileak-Orlicz function, Serdica Math.J., 40 (2014), 19-40.
148. Mohiuddine, S.A. Raj, Kuldip and Alotaib, A, Some paranormed double difference sequence spaces for Orlicz functions and bounded-regular matrices, Abstr. Appl. Anal., Volume 2014, Article ID 419064, 10 pages.
149. Raj, Kuldip, Suruchi, Pandoh and Jamwal, Seema , Composition operators on Cesaro Function Spaces, J. Funct. Spaces Appl., Volume 2014, Article ID 501057, 6 pages.
150. Raj, Kuldip and Pandoh, Suruchi, Some difference sequence spaces defined by a modulus function and an infinite matrix, J. Inequal. Spec. Funct., 5(2014), 21-32.
151. Raj, Kuldip and Ayhan Esi, On some new entire sequence spaces, J. Ana. Num. Theor., 2 (2014), 69-76.
152. Raj, Kuldip and Sharma, Sunil K., Some spaces of double difference sequences of fuzzy numbers, Mat. Vesnik, 66 (2014), 91-100.
153. Raj, Kuldip, Pandoh, Suruchi and Jamwal, Seema, Difference Sequence spaces of fuzzy real numbers, J. Concr. Appl. Math., 12 (2014),146-159.
154. Raj, Kuldip, Jamwal, Seema and Sharma, Sunil K, Some double lacurnary sequence spaces, Italian J. Pure and Appl. Math. 32(2014), 347-358.
155. Sharma, Sunil K. and Raj, Kuldip, Some summable sequence spaces defined by a sequence of modulus functions, Thai J. Math., 12 (2014).

156. Raj, Kuldip, Jamwal, Seema and Sharma, Sunil K, Weighted composition operators on Musielak-Orlicz spaces of Bochner-Type, Ann. Univ. Buchar. Math. Ser. 72 (2013) 513-523 .
157. Raj, Kuldip and Sharma, Ajay K, Some sequence spaces defined by a sequence of modulus functions, Sci. Stud. Res. Ser. Math. Inform., 23(2013), 115-126.
158. Raj, Kuldip and Sharma, Sunil K., Some new sequence spaces, Appl. Appl. Math. 8(2013), 596-613 .
159. Raj, Kuldip and Sharma, Sunil K., Some difference sequence spaces defined by Musielak-Orlicz functions, Math. Pannon., 24 (2013), 33-43.
160. Raj, Kuldip, Sharma, Sunil K., and Jamwal, Seema , Multiplication and composition operators on wp(f), Proyecciones,, 32 (2013) , 321-332.
161. Raj, Kuldip, Sharma,Sunil, K , Some seminormed difference sequence spaces defined by a Musielak-orlicz function over n-normed spaces, Creat. Math. Inform. (In Press).
162. Raj, Kuldip, Sharma,Sunil, K, Difference I-convergent sequence spaces defined by a sequence of modulus functions over n-normed spaces, Matematika, 29(2013), 187-196.
163. Raj, Kuldip, Sharma,Sunil, K and Sharma Ajay K., New sequence spaces of fuzzy numbers defined by Orlicz function, American journal of Mathematics and Statistics, 3(2013), 253-257.
164. Raj, Kuldip, Jamwal, Seema and Sharma, Suni K., Composition operators on Cesaro-Orlicz sequence spaces, Transylv. J. Math. Mech., 5(2013), 65-68.
165. Raj, Kuldip, Sharma,Sunil, K and Sharma Ajay K., Some double sequence spaces defined by a sequence of Orlicz functions over n-normed spaces, Sci. Math. Jpn., online e-2013, 571-583.
166. Raj, Kuldip, Sharma,Sunil, K and Jamwal, Seema. On some properties of composition operators, Antarctica J. Math., 10 (2013), 435-446.
167. Raj, Kuldip, On some generalized convergent lacunary sequence spaces defined by a Musielak-Orlicz function, Kumamoto J. Math., 26 (2013), 9-22.
168. Raj, Kuldip and Sharma, Sunil K, On some properties of the sequence space , Journal of Operators, Volume 2013, Article ID 904838.
169. Raj, Kuldip, Jamwal Seema and Sharma Sunil K., New classes of generalized sequence spaces defined by an Orlicz function, J. Comput. Anal. Appl., 15 (2013), 730-737.
170. Raj, Kuldip, Sharma, Sunil K. and Ajay K. Sharma, Sequence spaces defined by Musielak-Orlicz function in 2-normed spaces, J. Comput. Anal. Appl., 15(2013),142-151.
171. Raj, Kuldip, Sharma Sunil K. and Gupta Amit, Double multiplier difference sequence spaces of fuzzy numbers defined by a sequence of Orlicz function, Int. J. Math. Game Theory Algebra ,20 (2013), 61-69.
172. Sharma,Sunil K, Raj, Kuldip and Sharma, Ajay K, Integral type operators on some classes of holomorphic functions with complex order, European J. Math. Sci., 2(2013), 246-255.
173. Sharma, Sunil K and Raj, Kuldip, Difference entire sequence spaces of Fuzzy numbers, Malaya J. Mat., 2(2013), 11-17.
174. Sharma, Sunil K, Raj, Kuldip and Sharma, Ajay K, Some double sequence spaces in n- normed spaces using ideal convergence and a sequence of Orlicz functions, J. non-linear analysis and optimization, 4 (2013), 1-11.
175. Raj, Kuldip and Jamwal, Seema, Some new difference sequence spaces defined by a sequence of modulus functions, Int. J. Algebra and Statistics, 2 (2013), 29-36.
176. Raj, Kuldip and Sharma,Sunil K ,µ- Statistical Convergent double sequence spaces, Ann. Univ. Oradea, Fasc. Math, Tom XX(2013),113- 126.
177. Raj, Kuldip, Sunil K. Sharma and Seema Jamwal, Double gai sequence spaces defined by a sequence of modulus functions, Nonlinear Funct. Anal. & Appl., 18 (2013), 85-102.
178. Raj, Kuldip and Sharma, Sunil K., Lacunary sequence spaces defined by Musielak-Orlicz function, Le Matematiche, 68 (2013), 33-51.
179. Raj Kuldip and Sharma Sunil K., Ideal Convergence sequence spaces defined by a Musielak-Orlicz function, Thai J. Math., 11 (2013),577-587.
180. Raj, Kuldip, Sharma,Sunil K and Gupta, Amit, Some multiplier lacunary sequence spaces defined by a sequence of modulus functions, Acta Universitatis Sapientiae Mathematica, 4 (2012), 117-131.
181. Raj, Kuldip and Sharma, Sunil K., Some new lacunary strong convergent vector-valued multiplier difference sequence spaces defined by a Musielak-Orlicz function, Acta Mathematica Academiae Paedagogiace Nyíregyháziensis, 28 (2012),103-120.
182. Raj, Kuldip and Sharma,Sunil K, Sequences spaces defined by a sequence of modulus functions in n-normed spaces, Fascicculi, Mathematici, Nr 49 (2012) 113-126.
183. Raj, Kuldip and Sunil K. Sharma, Some vector-valued sequence spaces defined by a Musielak-Orlicz function, Rev. Roumanian Math. Pure Appl. ,57(2012),383-399.
184. Raj, Kuldip and Sharma, Sunil K., Some generalized difference double sequence spaces defined by a sequence of Orlicz-function, Cubo, 14(2012), 167-189.
185. Sharma, Ajay, K., Raj, Kuldip and Sharma, Sunil K., Products of multiplication composition and differentiation operators from H^infty to weighted Bloch spaces, Indian Journal of Mathematics, 54 (2012), 159-179.
186. Raj Kuldip and Sharma Sunil K., Some multiplier sequence spaces defined by a Musielak-Orlicz function in n-normed spaces, New Zealand Journal of Mathematics, 42(2012), 45-56.
187. Raj, Kuldip and Sharma, Sunil K., Double sequence spaces defined by a sequence of modulus function, Creative Mathematics and Informatics, 22(2012), 203-213.
188. Raj, Kuldip, Sharma, Sunil K. and Gupta, Amit, Generalized difference entire sequence spaces, Proyecciones, 31(2012), 169-195.
189. Raj, Kuldip, Sharma, Sunil K. and Kumar, Anil, Generalized sequence spaces over n- normed spaces, Acta Universitatis Math. Belli Ser., 20 (2012), 35-48.
190. Sharma, Sunil K., Raj Kuldip and Sharma, Ajay K., Some new double sequence spaces over n-normed spaces, Int. J. Appl. Math., 25 (2012), 255-269.
191. Raj, Kuldip, Sharma, Sunil K. and Kumar, Anil, Multiplication Operator on Musielak-Orlicz spaces of Bochner type, Journal of Advanced studies in topology, 3(2012), 1-7.
192. Raj Kuldip and Sharma Sunil K., Almost Asymptotically Statistical Equivalent of Double Difference Sequences of Fuzzy Numbers, Mathematica Aterna, 2 (2012), 247-255.
193. Raj Kuldip and Sharma Sunil K., A sequence space defined by a Musielak-Orlicz function over n-normed spaces, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica, 51(2012), 89-100.
194. Raj, Kuldip and Sharma, Sunil K., Some strongly convergent difference sequence spaces defined by a sequence of modulus function, Novi Sad Journal of Mathematics ,42(2012), 61-73.
195. Raj, Kuldip and Sharma, Sunil K., Some generalized sequence spaces defined by Musielak-Orlicz function over n-normed spaces, TWMS Journal of Pure and Applied Mathematics, 3(2012),190-201 .
196. Raj, Kuldip and Sharma Sunil K., Some multiplier Double sequence spaces, Acta Mathematica Vietnamica ,37(2012), 391-406.
197. Raj, Kuldip and Khosla, Vinay, Weighted composition operators on the Sequence Spaces of Entire Functions, Int. J. Appl. Math., 25 (2012),103-108.
198. Raj, Kuldip and Sharma, Sunil K., Some double sequence spaces defined by a sequence of Orlicz function, Journal of Mathematical Analysis, 3 (2012), 12-20.
199. Kumar, Sunil, Bhougal, Sandeep and Raj, Kuldip, Estimation of population mean using ranked set sampling, Int. J. of Research in Commerce, IT & Management, 2 (2012), 138-140.
200. Raj, Kuldip, Sharma, Ajay, K., Sharma, Sunil K. and Saini, Sulinder, Strongly Summable double sequence spaces over n-normed spaces, British Journal of Mathematics and Computer Sciences, 2 (2012),31-43.
201. Raj, Kuldip and Sharma, Sunil K. Composition Operator on Musielak-Orlicz spaces of Bochner type, Math. Bhomica , 137(2012),449-457.
202. Raj, Kuldip and Gupta, Amit, Multiplier sequence spaces of fuzzy numbers defined by Musielak-Orlicz function, Journal of Mathematics and Applications, 35 (2012), 69-81.
203. Raj, Kuldip, Sharma, Ajay K. and Kumar, Anil, Weighted composition operators on Musielak-orlicz spaces, Ars Combinatoria, ,107 ( 2012), 431-439.
204. Raj, Kuldip and Sharma, Sunil K., Strongly summable sequence spaces defined by a sequence of modulus function, Int. J. Math. Sci. Appli., 2 (2012), 323-332.
205. Raj, Kuldip, Sharma, Ajay, K., Kumar, Anil and Sharma, Sunil, K., Double multiplier fuzzy sequence spaces defined by a sequence of Orlicz-functions, J. Appl. Funct. Anal., 7(2012), 241-247.
206. Raj, Kuldip, Seema Jamwal and Sharma, Sunil K., Multiplier generalized double sequence spaces of fuzzy numbers defined by a sequence of Orlicz function, Int. J. Pure Appl. Math., 78 (2012), 509-522.
207. Raj, Kuldip and Sharma, Sunil K. and Ajay K. Sharma, Some difference sequence spaces defined by Musielak-Orlicz function in n-normed spaces, J. Interdiscip. Math., 14 (2012), 569-580.
208. Sharma, A. K., Raj, Kuldip and Singh, Sulinder, A class of integration operators from mixed normed spaces to Bloch type spaces in the unit ball of C^n, Int. J. Math. And compu. 14(2012), 93-101.
209. Raj, Kuldip, Gupta, Amit and Sharma, Sunil, K., Modular sequence spaces over n-normed spaces, J. Adv. Stud. Topol.., 3(2012), 43-51.
210. Raj, Kuldip, Sharma, Ajay K., Sharma, Sunil K.and Singh, Sulinder, S., Some Double sequence spaces defined by a sequence of Orlicz functions over n-normed spaces, Lobachevski J. Math., 33(2012),183-190.
211. Raj, Kuldip, Jamwal, Seema and Sharma, Sunil K., Composition operators on Cesaro sequence spaces, Int. J. Appl. Math. Anal. Appl ., 7(2012), 99-103.
212. Raj, Kuldip and Sharma, Sunil K., Strongly almost double difference sequence spaces, Int. J. Math. Archive, 2(2011), 2241-2246.
213. Raj, Kuldip, Anil Kumar and Sharma, Sunil, K., On some sets of fuzzy difference sequences defined by a sequence of Orlicz function, Int. J. Appl . Math., 24(2011), 795-805.
214. Raj, Kuldip and Gupta, Amit, On some new generalized difference vector-valued sequence spaces defined by a sequence of modulus functions, American J. Math. Sci., 1(2011), 10-20.
215. Raj, Kuldip, Sharma, Sunil K. and Kumar, Anil, Multiplication operator on Musielak-Orlicz spaces, Adv. Appl. Math. Sci., 10(2011), 473-480.
216. Raj, Kuldip, Sharma, Sunil K. and Ajay K. Sharma, Upper and lower bounds for products of multiplication operator and Hausdorff matrix on Block weighted sequence spaces, Int. J. Pure and Appl. Math., 72 (2011),565-571.
217. Raj, Kuldip and Sharma, Ajay K., Integro-substitution operators between Lp-spaces, Pacific Asian J. Math., 5(2011), 19-26.
218. Raj, Kuldip and Sharma, Sunil K., Some sequence spaces in 2-normed spaces defined by Musielak Orlicz function, Acta Univ. Sapientiae Math., 3 (2011), 97-109.
219. Raj, Kuldip, Sharma, Sunil K. and Ajay K. Sharma, On some difference sequence spaces defined by Musielak-Orlicz function, Int. Elec. J. Pure Appl. Math., 3( 2011), 207-215.
220. Raj, Kuldip and Sharma, Sunil K., Weighted Substitution Operators between L^p –Spaces of Vector Valued Functions, Fasc. Math., Nr.47(2011), 63-70.
221. Raj, Kuldip and Sharma, Sunil K., Difference sequence spaces defined by sequence of modulus function, Proyecciones, 30(2011), 189-199.
222. Raj, Kuldip, Sharma, Sunil K. and Kumar, Anil, Composition Operators on Musielak-Orlicz space, J. Contem Appl. Math., 1(2011), 53-61.
223. Raj Kuldip, Komal, B. S and Khosla, Vinay, Weighted composition induced by operator valued maps on spaces of Orlicz functions, Gen. Math. Notes, 3(2011),73-79.
224. Raj, Kuldip, Sharma, Sunil K. ,Gupta, Amit and Kumar, Anil, A sequence space defined by a sequence of modulus functions, Int. J. Math. Anal., 5(2011), 1569-1574.
225. Raj, Kuldip, Sharma, Sunil K., Kumar, Anil and Gupta, Amit, Composition operators on m(φ,p), Appl. Math. Sci ,5(2011), 2639-2644.
226. Raj Kuldip, Sharma, Sunil K. and Gupta, Amit, Entire sequence spaces defined by Musielak-Orlicz function, Int. Journal of Mathematical Sciences and Applications , 2(2011), 953-960.
227. Raj, Kuldip and Sharma, Sunil K., Some sequence spaces defined by Musileak Orlicz function, Adv. Appl. Res., 3(2011), 146-153.
228. Raj, Kuldip and Sharma, Sunil K., Some difference sequence spaces in a 2-normed spaces using ideal convergence and Musielak Orlicz function, Far East J. Math. Sci., 54 (2011), 149-161.
229. Raj, Kuldip, Sharma, Ajay K. and Sharma, Sunil K., A sequence space defined by Musileak orlicz function, Int. J. Pure and Applied Math., 67(2011), 475-484.
230. Raj, Kuldip, Sharma, Sunil K. and Sharma, Ajay K.,Some new sequence spaces defined by sequence of modulus function in n-normed spaces, Int.. J. Math. Sci. & Engg. Appls., 5( 2011), 395-403.
231. Raj, Kuldip and Sharma, Sunil K., Generalized difference sequence spaces defined by Musielak Orlicz function, Int. J. Math. Sci. & Engg. Appls .., 5 (2011), 337-351.
232. Raj, Kuldip and Sharma, Sunil K., Some difference sequence spaces defined by modulus function, Int. J. Math. Archive , 2(2011),241-245.
233. Raj, Kuldip Komal, B.S. and Khosla, Vinay, Composition And Weighted Composition Operators on Sequence Spaces defined by modulus functions, Int. J. Math. Archive , 2(2011), 217-221.
234. Raj, Kuldip, Sharma, Sunil K. and Sharma, Ajay K., Difference sequence spaces in n-normed spaces defined by Musielak-Orlicz function, Armen. J. Math., 3(2010), 127-141.
235. Raj, Kuldip and Sharma, Sunil K., Generalized difference sequence spaces in 2-normed spaces defined by Musielak-Orlicz function, Proccedings of 20th Annual conference of Jammu Mathematical Society and A National Seminar on Toplogical Algebraic Analysis, Feb.26-28, 2010.
236. Raj, Kuldip and Khosla, Vinay; On Operators of Multiplication Acting on Sequence Spaces Defined by Modulus Functions, Int. Math. Forum, 62 (2010),3073-3077.
237. Sharma Ajay K., Raj, Kuldip and Sharma, Sunil K., Inequalities Involving Upper and Lower Bounds for Certain Operators on l_p –Spaces, Adv. Theor. Appl. Math. , 5 (2010), 339-345.
238. Raj, Kuldip, Komal, B.S. and Khosla, Vinay; Composition operators on sequence spaces of entire functions, Int. Electronics J. Pure. Appl. Math., 1 (2010), 469-474.
239. Raj, Kuldip, Komal, B. S. and Khosla, Vinay, On Operators of Weighted Composition on Orlicz Sequence Spaces, Int. J. Contemp. Math. Sciences, 5 (2010), 1961-1968.
240. Raj, Kuldip, Bhougal,Sandeep and Sharma,Sunil K.; Some Applications of Integro –Substitution Operators in Integral Equations, Int. J. Math. Analysis, 4( 2010) , 1857-1864.
241. Raj, Kuldip, Tiwari, Sadhana and Sharma, Sunil K., On operators of Weighted Composition Induced by Operator Valued Mappings Acting Between L^p – Spaces, Int. J. Comput. Sci. Math., 2 (2010), 39-44.
242. Raj, Kuldip ; Integral Operators between Lp-spaces, Int. J. Math. Sci. & Eng. Appl., 4 (2010), 419-425.
243. Komal, B. S., Raj, Kuldip and Khosla, Vinay ; On operators of weighted composition on spaces of Orlicz-functions. Int. Math. Forum, 4 (2009), 2041–2050.
244. Raj, Kuldip and Khosla,Vinay , Weighted composition operators between spaces of Orlicz-functions. Int. J. Algebra , 3 (2009), 315–324.
245. Raj, Kuldip, Weighted substitution operators between $L^p$-spaces, Int. J. Math. Anal., 2 (2008), 845–852.
246. Komal, B. S. and Raj, Kuldip, Multiplication operators induced by operator valued maps. Int. J. Contemp. Math. Sci., 3 (2008), 667–673.
247. Komal, B. S., Raj, Kuldip and Gupta, Shally, Isometric and Fredholm weighted substitution operators on the generalized spaces of entire functions. Far East J. Math. Sci. 1998, Special Volume, Part I, 25–35.
248. Komal, B. S. and Raj, Kuldip, On operators of weighted substitution on the generalized spaces of entire functions. II. Far East J. Math. Sci. 1998, Special Volume, Part I, 117–123.
249. Komal, B. S., Raj, Kuldip and Gupta, Sunil On operators of weighted substitution on the generalized spaces of entire functions, Math Today, 15 (1997), 3-10.

• “Kuldip Raj, Some I-Convergent Lambda A-Summable Sequence Spaces of Fuzzy Numbers of Order α.” International e-Conference on Fuzzy Sets & Fuzzy Logic-Generalizations and Applications, 2023.

  “Kuldip Raj, Statistical Measurable Convergence with Respect to Power Series for Double Sequences and Its Application.” International e-conference, Adana, Turkiye, 2023.

  “Kuldip Raj, A New Approach to Egorav’s Theorem by Means of Statistical Idel Convergence.” NCAMS-2022, 22-23 Dec 2022, Gauhati University.

  “Kuldip Raj, Linear Isomorphic Spaces of Cesaro Norlund Operators.” Internal Conference on Recent Advances in Mathematics Fluid Dynamics, 2nd-4th Dec 2022, Malaviya National Institute of Technology Jaipur, Rajasthan, India.

  “Kuldip Raj, Statistical Convergence in Sequence Spaces of Fuzzy Numbers.” International Virtual Conference on Recent Trends in Applied Mathematics (ICRTAM-2022), 7th October 2022, Sri Ramakrishna Institute of Technology, Coimbatore.

  “Kuldip Raj, Applications of Fractional Difference Operator to Develop Euler Difference Sequence Spaces and Their Toeplitz Duals.” International Conference on “Advancement in Mathematical Sciences and its Applications,” 16-17 January 2021, Ram Krishna College, Madhubani, Bihar.

  “Kuldip Raj, Weighted Composition Operators.” 6th International Conference on Recent Trends & Advancements in Engineering and Technology, 17-18 January 2020, Shri Mata Vaishno Devi University, Katra, J&K.

  “Kuldip Raj, Catalan Sequence Spaces and Their Properties.” International Conference on Mathematical Sciences and Computational Intelligence, 21-22 December 2020, Shri Mata Vaishno Devi University, Katra, J&K.

  “Kuldip Raj, Cesaro-Orlicz Sequence Spaces and Their Related Properties.” International Conference on Analysis and Its Applications (ICAA-2019), 16-18 December 2019, University of Jammu, Jammu, J&K.

  “Kuldip Raj, Multiplication Operators on Cesaro Sequence Spaces.” 4th National Conference on Recent Trends in Mathematical Sciences-2019, 13-14 December 2019, Shri Mata Vaishno Devi University, Katra, J&K.

  “Kuldip Raj, Applications of Matrix Transformation to Compute Toeplitz Duals of Lacunary Sequence Spaces.” 5th Annual National Conference in Mathematics, 13-14 December 2018, G.G.M. Science College, Cluster University of Jammu.

  “Kuldip Raj, Weakly Kothe Orlicz Sequence Spaces.” 84th Annual Conference of Indian Mathematical Society, 27-30 November 2018, Shri Mata Vaishno Devi University, Katra, J&K.

  “Kuldip Raj, Applications of Non-Newtonian Calculus for Classical Spaces and Orlicz Functions.” National Conference on Recent Advances in Mathematics, 4th-5th October 2018, Central University of Jammu.

  “Kuldip Raj, Generalized Orlicz Hilbert Sequence Spaces.” 14th Biennial Conference of Indian Society of Industrial and Applied Mathematics (ISIAM), 2-4 February 2018, Guru Nanak Dev University, Amritsar.

  “Kuldip Raj, Relative Modular Uniform Approximation by Means of Power Series Method with Applications.” Recent Advances in Complex Analysis and Operator Theory, 15-17 February 2018, University of Jammu, J&K.

  “Kuldip Raj, Generalized Difference Sequence Spaces.” Mathematical Sciences and Its Applications, 19-20 January 2018, G.G.M. Science College, Jammu, in collaboration with DST, J&K.

  “Kuldip Raj, On Orlicz-Garling Sequence Spaces.” International Conference on Analysis and Its Applications, 20-22 November 2017, Aligarh Muslim University, Aligarh.

  “Kuldip Raj, Essential Norm of Weighted Composition Operators.” Topology, Analysis, and Their Applications, 7-8 March 2017, Shri Mata Vaishno Devi University, Katra, J&K.

  “Kuldip Raj, On Strongly Convergent Sequence Spaces of Modulus Functions and Infinite Matrix over n-Normed Spaces.” 6th International Conference on Mathematics and Information Sciences, 9-11 February 2017, Egypt.

  “Kuldip Raj, On the Classical Paranormed Sequence Spaces.” Demonetization of Currency and India Economy, 28 December 2016, Shri Mata Vaishno Devi University, Katra.

  “Kuldip Raj, Certain Classes of Multiplier Sequences of Cesaro Type.” National Conferences on Topological Algebra and Analysis, 18-19 February 2016, G.G.M. Science College, Jammu.

  “Kuldip Raj, Some Double Sequence Spaces of Fuzzy Numbers Defined by a Sequence of Orlicz Functions.” 1st International Conference on Research and Innovations in Science, Engineering & Technology, 20-21 November 2015, Yogananda College of Engineering & Technology.

  “Kuldip Raj, On Some New Classes of Generalized Sequence Spaces.” National Conference on Recent Trends in Mathematical Sciences, 8-9 October 2015, Shri Mata Vaishno Devi University.

  “Kuldip Raj, Some Sequence Spaces of Fuzzy Numbers for Orlicz Function and Partial Metric.” 24th Annual Conference of the Jammu Mathematical Society, 14-16 May 2015, University of Jammu.

  “Kuldip Raj, Some Generalized I-Convergent Sequence Spaces of Fuzzy Numbers.” 2nd National Conference on Recent Trends in Algebra and Analysis, 25-26 March 2015, G.G.M. Science College, Jammu.

  “Kuldip Raj, On Double Sequence Spaces.” 10th JK Science Congress, 14-16 March 2015, University of Jammu.

  “Kuldip Raj, Applications of Lacunary Sequences to n-Norm.” National Conference on Analysis and Its Applications, 27 March 2014, G.G.M. Science College, Jammu.

  “Kuldip Raj, Multiplication Operators on Cesaro Function Spaces.” International Conference on Recent Trends in Algebra and Analysis with Applications, 12-14 February 2014, Aligarh Muslim University.

  “Kuldip Raj, On Some Sequence Spaces.” International Conference on Machine Intelligence and Research Advancement, 21-23 December 2013, SMVDU Katra, Jammu.

  “Kuldip Raj, Fuzzy Sequence Spaces.” 23rd Annual Conference of the Jammu Mathematical Society, 26-28 February 2013, University of Jammu.

  “Kuldip Raj, Composition Operators on Musielak-Orlicz Spaces.” National Conference on Algebra, Analysis, and Their Applications, 18-19 August 2012, Govt. M.A.M. College, Jammu.

  “Kuldip Raj, Some Multiplier Generalized Difference Sequence Spaces.” First National Conference on Machine Intelligence Research and Advancement, 21-23 December 2012, SMVD University.

  “Kuldip Raj, Difference Sequence Spaces Defined by Musielak-Orlicz Function over n-Normed Spaces.” 21st Annual Conference of the Jammu Mathematical Society, 25-27 February 2011, University of Jammu.

  “Kuldip Raj, Double Difference Sequence Spaces Defined by Musielak-Orlicz Function.” 7th JK Science Congress, 13-15 October 2011, University of Jammu.

  “Kuldip Raj, Strongly Summable Sequence Spaces Defined by a Sequence of Orlicz Functions.” 1st International Conference on Mathematical Sciences and Applications, 18 December 2011, India International Centre, New Delhi.

  “Kuldip Raj, Weighted Composition Operator between Orlicz Function Spaces.” 5th JK Science Congress, 8-10 February 2010, University of Jammu.

  “Kuldip Raj, Integral Operators between Lp-Spaces.” 20th Annual Conference of the Jammu Mathematical Society, 28 February-2 March 2010, University of Jammu.

  “Kuldip Raj, On Operators of Weighted Composition Induced by Operator-Valued Mappings Acting Between Lp-Spaces.” ICM-2010 Satellite Conference on Functional Analysis and Operator Theory, 8-11 August 2010, Indian Statistical Institute Bangalore.

  “Kuldip Raj, Difference Sequence Spaces in n-Normed Spaces Defined by Musielak-Orlicz Function.” International Conference on Development and Applications of Statistics, 8-10 December 2010, University of Jammu.

  “Kuldip Raj, On Operators of Weighted Substitution on the Generalized Spaces of Entire Functions.” 18th Annual Conference of Jammu Mathematical Society, 1-3 March 2008, University of Jammu.

  “Kuldip Raj, Multiplication Operators Induced by Operator-Valued Maps.” International Congress and 8th Conference of Indian Society of Industrial & Applied Mathematics, 31 March-3 April 2007, University of Jammu.

“Kuldip Raj and Kavita Saini, Intuitionistic Fuzzy Generalized Lucas Ideal Convergent Sequence Spaces Associated with Orlicz Function.” Chapter in Soft Computing Techniques in Engineering, Health, Mathematical, and Social Sciences, 2021, ISBN 9781003161707.

“Kuldip Raj, Substitution Operators on Some Function Spaces.” Lambert Academic Publishing, Germany, 2010, ISBN 978-3838398433.

• Ph.D. Students Supervised – Kuldip Raj (2013–Present)

  Supervised 14 Ph.D. candidates in sequence spaces, function spaces, matrix transformations, composition operators, generalized function spaces, difference sequence spaces, and adaptive controllers for nonlinear systems with faults.

• “Algebra, Analysis, and Applications” National Conference, SMVDU, March 15–16, 2013.

  “Topology, Analysis, Algebra and Their Applications” National Conference, SMVDU, March 7–8, 2017.

  “Mathematical Sciences and Computational Intelligence” International Conference, SMVDU, December 21–22, 2020.

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  “Research Methodology” Training Workshop, Science Club, Govt Degree College (Boys), Kathua in collaboration with the Internal Quality Assurance Cell (IQAC), January 23, 2023.

  “Fifteen Days Virtual International FDP on Frontiers of Mathematics” Faculty Development Program (FDP), Department of Mathematics, SRMIST, Ramapuram, Chennai, India in collaboration with “1 December 1918 University” of Alba Iulia, Romania, July 5–19, 2023.

  “Dynamics and Advances in General Financial Rules (GFRs) & Purchase Processes” Training Workshop, Faculty Development Centre, SMVDU under Pandit Madan Mohan Malviya National Mission on Teachers and Teaching (PMMMNMTT) Scheme in collaboration with Directorate of Quality Assurance, Shri Mata Vaishno Devi University, Katra (J&K), August 7, 2021.

  “Mathematics and Its Application in Science & Engineering” Faculty Development Program (FDP), Faculty Development Centre, Shri Mata Vaishno Devi University under PMMMNMTT Scheme in collaboration with the School of Mathematics, Shri Mata Vaishno Devi University, Katra, September 27–October 1, 2021.

  “Applications of Analysis” Training Workshop, Department of Mathematics, University of Jammu, February 24–28, 2020.

  “Managing Online Classes and Co-Creating MOOCs 3.0” Faculty Development Program (FDP), Ramanujan College, New Delhi, July 25–August 10, 2020.

  “Professional Ethics & Human Values – A Gandhian Perspective” Training Workshop, Faculty Development Centre, SMVD University, March 11–15, 2019.

  “Applied Mathematics” Training Workshop, Department of Mathematics, University of Jammu, Jammu, J&K, May 30, 2019.

  “Foundation Program in ICT for Education” FDP (FDP101x), Indian Institute of Technology Bombay, March 8–April 12, 2018.

  “Pedagogy for Online and Blended Teaching-Learning Process” FDP, Indian Institute of Technology Bombay, May 3–30, 2018.

  “Sustainable Design and Manufacturing (SDM-2018)” FDP, School of Mechanical Engineering at Shri Mata Vaishno Devi University, Katra (J&K), February 16, 2018.

  “Research Methodology” FDP, Human Resource Development Center at Shri Mata Vaishno Devi University, Katra (J&K), December 4–8, 2017.

  “Patent Drafting and Filling” Training Workshop, Department of Biotechnology, SMVD University, Katra, Jammu, October 20, 2016.

  “Optimization Using Matlab Through ICT” Short-Term Course (STC), Mechanical Engineering Department at Shri Mata Vaishno Devi University, Katra (J&K), October 24–28, 2016.

  “E-content Development and Management” Training Workshop, Govt. College for Women Gandhi Nagar, Jammu, July 23–24, 2015.

  “Applications of Econometrics and Time Series Techniques in Business” FDP, College of Management, Shri Mata Vaishno Devi University, Katra, J&K, May 20–June 2, 2013.

  “AKASH for Education” Training Workshop, Indian Institute of Technology Bombay, November 10–11, 2012.

“On Ideal Convergent Sequence Spaces of Fuzzy Numbers” International Webinar on Recent Trends of Mathematical Science (IWRTMS 2022), Calcutta Mathematical Society, 2022.

“Tauberian Theorems for de la Vallée Poussin Mean” Department of Mathematics, University of Jammu, 2020.

“On Fractional Difference Operators” Department of Mathematics, University of Jammu, Jammu, J&K, 2019.

“On Orlicz-Garling Sequence Spaces” Department of Mathematics, Aligarh Muslim University, Aligarh, 2017.

“Visit to Egypt” Visited the African country Egypt, Cairo, to attend the International Conference organized by Zewail City of Science and Technology, February 9-11, 2017.

Complex Analysis (M. Sc. 2nd Semester & IBM 8th Semester):Lesson plan- Complex Analysis

Functional Analysis (M. Sc. 4th Semester & IBM 10th Semester):Lesson Plan – Functional Analysis