Fuzzy Vector Equilibrium Problem

Document Type: Research Paper

Authors

1 Department of Mathematics, Aligarh Muslim University, Aligarh- 202002, India

2 Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India

Abstract

In the present paper, we introduce and study a fuzzy vector equilibrium problem and prove some existence results with and without convexity assumptions by using some particular forms of results of textit{Kim} and textit{Lee} [W.K. Kim and K.H. Lee, Generalized fuzzy games and fuzzy equilibria, Fuzzy Sets and Systems, 122 (2001), 293-301] and textit{Tarafdar} [E. Tarafdar, Fixed point theorems in $H$-spaces and equilibrium points of abstract economies, J. Aust. Math. Soc.(Series A), 53(1992), 252-260]. An example is also constructed in support of fuzzy vector equilibrium problem.

Keywords


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