Research Publications:
2023:
Well-posedness for the split equilibrium problem, Soumitra Dey, V. Vetrivel and Hong-Kun Xu, to appear in Optimization Letters, 2023.
Parameterized Douglas-Rachford dynamical system for monotone inclusion problems, P. Gautam, K. Som, V. Vetrivel, Applied set-valued analysis and optimization, 5 (1), 19-29, 2023
2022:
Global well-posedness of set-valued optimization with application to uncertain problems, K Som and V Vetrivel, Journal of Global Optimization, 88 (8) 2022, p.511-539.
A note on pointwise well-posedness of set-valued optimization problems, K Som and V Vetrivel, Journal of Optimization Theory and Applications, 192, p.628-647, 2022.
Pointwise well-posedness of a set-valued optimization problem at a weak solution, K Som and V Vetrivel, The Journal of Analysis, 31, p.187–199, 2023.
2021:
On robustness for set-valued optimization problems, K Som and V Vetrivel, Journal of Global Optimization 79, 905–925, 2021.
Notes on the neural network approach to inverse variational inequalities, Hong-Kun Xu, Soumitra Dey, and V Vetrivel, Optimization, 70, No. 5-6, 901-910, 2021.
2019:
A neural network method for monotone variational inclusions, Soumitra Dey, V Vetrivel, and Hong-Kun Xu, J. Nonlinear and Convex Anal., 20, No. 11, 2387-2395, 2019.
2018:
On Approximate solution to Inverse Quasi-Variational Inequality Problem, S Dey and V Vetrivel, Sci. Math. Japonica, 81, No. 3, 301-306, 2018.
On Nonexistence of bent – negabent rotation symmetric Boolean functions, B. Mandal, B. Singh, S. Gangopadhyay, S. Maitra and V. Vetrivel, Discrete Appl. Math. Vol. 236, p. 1-6, 2018.
2017:
Best Proximity Points of Contractive Mappings on a Metric Space with a Graph and Applications, A. Sultana and V. Vetrivel, Applied General Topology, Vol.18, p.13-21, 2017.
An Extension of Set-Valued Contraction Principle for Mappings on a Metric Space with a Graph and Application, Numerical Functional Analysis and Optimization, 38, p. 1060-1068, 2017.
2016:
On the existence of projected solutions of quasi-variational inequalities and generalized Nash equilibrium problem, D. Aussel, Asrifa Sultana and V. Vetrivel, Journal of Optimization Theory and Applications 170, 818-837, 2016.
Investigations on cubic rotation symmetric bent functions , S.Gangopadhyay, B. Singh and V.Vetrivel, Electronic Notes in Discrete Mathematics 56, 15- 19, 2016.
2014:
On the existence of best proximity points for generalized contractions, Asrifa Sultana and V Vetrivel, Appl. General Topology, Vol. 15, p. 55-63, 2014.
Fixed points of Mizoguchi-Takahashi contraction on a metric space with a graph and applications, A. Sultana and V. Vetrivel, Journal of Mathematical Analysis and Applications, Vol.417, p. 336-344, 2014.
2013:
GPU computing for meshfree particle method. M.Panchatcharam, Axel Klar, S.Tiwari, S.Sundar and V.Vetrivel, International Journal of Numerical Analysis and Modeling, Series B. 4, p.394-412, 2013.
Solving Strongly Monotone Linear Complementarity Problem, A. Chandrashekaran, T.Parthasarathy and V.Vetrivel, International Game Theory Review, Vol.15, No.4, 2013.
Stein Linear Programs over Symmetric Cones, I.Jeyaraman, K.C. Sivakumar and V.Vetrivel, International Game Theory Review, Vol.15, No.4, 2013.
2011:
On the Lipschitzian Property in Linear Complementarity Problems over symmetric cones, I.Jeyaraman and V.Vetrivel, Linear Algebra Appl., Vol.435, 842-851, 2011.
2010:
Jordan Quadratic SSM _Property and its relation to copositive linear transformations on Euclidean Jordan Algebras, I.Jeyaraman and V.Vetrivel, Linear Algebra Appl. Vol. 433, , 390-400, 2010.
On the P2’ and P2 Properties in the semidefinite linear complementarity problem, A. Chandrashekaran, T.Parthasarathy, and V.Vetrivel, Linear Algebra Appl. 432, 134-143, 2010.
2009:
Optimal control of film casting processes, K.Selvanayagam, Thomas Goetz, S.Sundar and V.Vetrivel, Int. J. Numerical Methods in Fluids, Vol.59, pp.1111-1124, 2009.
Optimal die shape for film casting, K.Selvanayagam, Thomas Goetz, S.Sundar and V.Vetrivel, Applied Mathematics Letters. Vol.22, pp.1598-1603, 2009.
2005:
On the Lipschitz Continuity of the Solution Map in Semidefinite Linear Complementarity Problems, R. Balaji, T. Parthasarathy, D.S. Raman and V. Vetrivel, Mathematics of Operations Research, Vol.30, No. 2, 462-471, 2005.
On the Lipschitzian GUS – Property of Linear Maps in in Semidefinite Linear Complementarity Problems, R. Balaji, T.Parthasarathy and V.Vetrivel, in “Operations Research with Economic and Industrial Applications: Emerging Trends” Eds. S.R.Mohan and S.K.Neogy, Anamaya Publishers, NewDelhi, Chapter 13, 181-187, 2005.
Navier Stokes-Brinkmann model for incompressible flow over a porous layer, S.Mohan Kumar, S.Sundar and V.Vetrivel Proceedings of the International Workshop on Modeling and Simulation. Narosa, pp.283-293, Narosa, 2005.
2004 down:
On Approximate Minima in Vector Optimization, J. Dutta and V.Vetrivel, Numerical Functional Analysis and Optimization, Vol.22, 845-859, 2002.
Mathematical Programming with a class of Non-Smooth Functions, J.Dutta and V.Vetrivel, Journal of Systems Science and Complexity, Vol.15, No.1, p. 52-60, 2002.
Motzkin Type Alternative Theorem and Set-Valued Optimization, V.Vetrivel and J.Dutta, The Journal of Analysis, 9, p. 137-147, 2001.
A Remark on Gwinner's Existence Theorem on Variational Inequality Problem, V.Vetrivel and S.Nanda, International Journal of Mathematics and Mathematical Sciences, 24, No.8, p.573-575, 2000.
Necessary Optimality Conditions with Non-smooth Invex Functions, V.Vetrivel, and J.Dutta, in Non-Smooth/Non-Convex Mechanics: Modeling, Analysis and Numerical Methods, Eds. D.Y. Gao, R.W. Ogden and G.E. Stavroulakis, Kluwer Academic Publishers, Boston, London, Chapter 20, pp. 427-446 (2000).
On Saddle Points and Optima for Non-smooth and Non-convex Programs, J.Dutta and V.Vetrivel and S.Nanda, Optimization, 42, p. 71-83, 1997.
On Units in ZS_3, R.K.Sharma, S.Gangopadhyay and V.Vetrivel, Communications in Algebra, 25, p. 2285-2299, 1997.
Semi-Invex Functions and Their Subdifferentials, J.Dutta, V.Vetrivel and S.Nanda, Bulletin of Australian Mathematical Society, 56, p.385-393, 1997.
Fixed Point Theorems for Multifunctions, P. Bhattacharyya and V.Vetrivel, Journal of Mathematical and Physical Sciences 30, p.187-192, 1996.
Existence of Ky Fan's Best Approximation for Set valued Maps, V.Vetrivel, Indian Journal of Pure and Applied Mathematics, 27,p.173-175, 1996.
Common Fixed Point Theorems, S. Basha and V. Vetrivel, Acta Scientiarum Mathematicarum (szeged), 62, 279-288, 1996.
Applications of Lassonde's Fixed Point Theorem, P.Bhattacharyya and V.Vetrivel, Journal of Mathematical and Physical Sciences, 29, p.19-31, 1995.
An Existence Theorem on Generalized Quasi-Variational Inequality Problem, P. Bhattacharyya and V. Vetrivel, Journal of Mathematical Analysis and Applications, 188, p. 610-615, 1994.
Some Extensions of Fan's Best Approximation Theorem, V.Vetrivel, P.Veeramani and P.Bhattacharyya, Numerical Functional Analysis and Optimization, 13, p.397-402, 1992.
On Some Fixed Point Theorems for Nonexpansive Mappings, V.Vetrivel, P. Veeramani and P. Bhattacharyya, Journal of Mathematical and Physical Sciences, 26, p. 165-174, 1992.
Journals as Editor:
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