Result on Variational Inequality Problem

Authors

  • Hemant Kumar Nashine Department of Mathematics, Raipur Institute of Technology, Chhatauna, Mandir Hasaud, Raipur (Chhattisgarh), India

DOI:

https://doi.org/10.5644/SJM.03.1.13

Keywords:

Variational inequality, fixed point, upper semicontinuous map, open inverse values

Abstract

The aim of this paper is to present an improved and extended version of the variational inequality problem of Vetrivel and Nanda [7] by using a weaker condition in the topological vector space and without using the result of Lassonde [3].

 

1991 Mathematics Subject Classification. 90C30, 49N15

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References

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E. U. Tarafdar and P. J. Watson, A coincidence point theorem and related results, Appl. Math. Lett., 11 (1) (1998), 37–40.

E. Tarafdar and X. Z. Yuan, A remark on coincidence theorems, Proc. Amer. Math. Soc., 122 (3) (1994), 957–859.

V. Vetrivel and S. Nanda, A remark on Gwinner’s existence theorem on variational inequality problem, Internat. J. Math. Math. Sci., 24 (8) (2000), 573–575.

E. Zeidler, Nonlinear Functional Analysis and its Applications III, Variational methods and optimization, Translated from the German by Leo F. Boron, Springer-Verlag, New York, Berlin, 1985.

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Published

12.06.2024

How to Cite

Nashine, H. K. (2024). Result on Variational Inequality Problem. Sarajevo Journal of Mathematics, 3(1), 131–135. https://doi.org/10.5644/SJM.03.1.13

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