Contact & Basic Information

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Department: Mathematics

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Educations

Course	Institute	Board / University	Year	Subject
Ph.D.			2009	Mathematics

Experiences

Position	Year	Organisation	Specialisation
Post Doctoral Fellow NBHM	30/06/2023 - 31/05/2026	NIT Mizoram	Teaching and research
Associate Professor	01/06/2010 - 31/05/2013	BHU Varanasi	Teaching and research

Research Interest

My main research specializations can be categorized under the following headers: Bilevel programs with non convex lower level programs Mathematical programs with equilibrium constraints / switching constraints / vanishing constraints, Non smooth and non convex optimization problems under Manifold environment, Stability and sensitivity for optimization and optimal control problems, Bilevel optimal control problems, Semi-infinite programs: Optimality conditions and numerical algorithms

Publications

International/National Journals S.No. Month Year Publication Information 1 DEC 2024 A review of fuzzy logic analysis in COVID-19 pandemic and a new technique through extended hexagonal intuitionistic fuzzy number in analysis of COVID-19, Results in Control and Optimization Volume 17, December 2024, 100498 2 NOV 2024 Muhammed Raji, Laxmi Rathour, Vinay Singh, Mutalib Sadiq, Lakshmi Narayan Mishra, and Vishnu Narayan Mishra, “Generalized Contractions in Partially Ordered Metric Space with Rational Expressions and Related Fixed Point Results.” American Journal of Applied Mathematics and Statistics, vol. 12, no. 4 (2024): 80-85. doi: 10.12691/ajams-12-4-2 3 APR 2024 Antczak, T., Singh, V., & Lalmalsawma, S. (2024). Optimality conditions for (h, φ)-subdifferentiable multiobjective programming problems with G-type I functions. Statistics, Optimization & Information Computing, 12(4), 1103-1122. https://doi.org/10.19139/soic-2310-5070-1930 4 MAR 2024 Tung, L.T., Singh, V. Optimality conditions and duality for mathematical programming with equilibrium constraints including multiple interval-valued objective functions on Hadamard manifolds. Japan J. Indust. Appl. Math. 41, 1105–1136 (2024). https://doi.org/10.1007/s13160-024-00646-6 5 MAR 2024 Abdulaleem, N., Lalmalsawma, S., Singh, V. (2025). ‘A new class of generalized convex functions and mathematical programming’, International Journal of Nonlinear Analysis and Applications, 16(5), pp. 153-164. doi: 10.22075/ijnaa.2024.32577.4848 6 MAR 2024 Optimality conditions in multiobjective programming models with semi-infinite constraints using generalized (h, φ)-G-type I functions, Results in Control and Optimization Volume 14, March 2024, 100395 7 FEB 2024 A dual hesitant fuzzy set theoretic approach in fuzzy reliability analysis of a fuzzy system L Rathour, V Singh, H Yadav, MK Sharma, VN Mishra – Inf. Sci. Lett, 2024 8 AUG 2023 Temporally dependent solute transport in one-dimensional porous medium: Analytical and Fuzzy form solutions., Mathematics in Engineering, Science & Aerospace (MESA) 14 (3) 9 APR 2023 L.T. Tung, D.H. Tam, V. Singh, Characterization of solution sets of geodesic convex semi-infinite programming on Riemannian manifolds, Appl. Set-Valued Anal. Optim. 5 (2023), 1-18. 10 MAR 2022 Optimality and duality results for (h,φ)-nondifferentiable multiobjective programming problems with (h,φ) – (b,f,ρ) -convex functions, Filomat 2022 Volume 36, Issue 12, Pages: 4139-4156 11 MAY 2020 Antczak, T., Pandey, Y., Singh, V. et al. On Approximate Efficiency for Nonsmooth Robust Vector Optimization Problems. Acta Math Sci 40, 887–902 (2020). https://doi.org/10.1007/s10473-020-0320-5 12 MAR 2017 Sufficient optimality conditions and Mond–Weir duality for quasidifferentiable optimization problems with univex functions, Univ. Buchar., Ser. A, Appl. Math. Phys 79 (1), 185-196, 13 FEB 2016 Mishra, S.K., Singh, V. & Laha, V. On duality for mathematical programs with vanishing constraints. Ann Oper Res 243, 249–272 (2016). https://doi.org/10.1007/s10479-015-1814-8 International/National Conference Proceedings S.No. Month Year Publication Information 1 OCT 2022 Optimality and Duality for Semi-infinite ℎ,φ−E convex Programming Problem. Book Chapters S.No. Month Year Publication Information 1 APR 2022 Laha, V., Singh, V., Pandey, Y., Mishra, S.K. (2022). Nonsmooth Mathematical Programs with Vanishing Constraints in Banach Spaces. In: Nikeghbali, A., Pardalos, P.M., Raigorodskii, A.M., Rassias, M.T. (eds) High-Dimensional Optimization and Probability. Springer Optimization and Its Applications, vol 191. Springer, Cham. https://doi.org/10.1007/978-3-031-00832-0_13 2 JUL 2021 Pandey, Y., Singh, V. (2021). On Constraint Qualifications for Multiobjective Optimization Problems with Switching Constraints. In: Laha, V., Maréchal, P., Mishra, S.K. (eds) Optimization, Variational Analysis and Applications. IFSOVAA 2020. Springer Proceedings in Mathematics & Statistics, vol 355. Springer, Singapore. https://doi.org/10.1007/978-981-16-1819-2_13 3 JUN 2019 Subba, M.B., Singh, V. (2020). Necessary Optimality Condition for Nonlinear Interval Vector Programming Problem Under B-Arcwise Connected Functions. In: Le Thi, H., Le, H., Pham Dinh, T. (eds) Optimization of Complex Systems: Theory, Models, Algorithms and Applications. WCGO 2019. Advances in Intelligent Systems and Computing, vol 991. Springer, Cham. https://doi.org/10.1007/978-3-030-21803-4_65

Courses Taught

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Awards / Recognitions

S.No.	Month	Year	Category	Achievement Information
1	MAY	2010		Post Doctoral Fellowship from National Board for Higher Mathematics, Department of Atomic Energy, Govt. of India

Additional Assignments

B.Tech Projects & M.Tech Dissertation

Research Scholars/Ph.D. Supervised

S.No.	Degree	Research Topic, Scholar Name & Other Details	Status	Supervisor Category	From	To
1	Ph.D.	Optimization Problems under Generalized Convexity Mohan Bir Subba	Awarded	Sole Supervisor	01/09/2017	23/02/2023
2	Ph.D.	Study of Mathematical Programming under Generalized Convexities based on Generalized Algebraic Operations Solomon Lalmalsawma	Submitted	Sole Supervisor	01/03/2021	09/10/2024

Post-Doctoral Fellows

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