Fuzzy Vector Equilibrium Problem

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, ۱۲۲ (۲۰۰۱), ۲۹۳-۳۰۱] and textit{Tarafdar} [E. Tarafdar, Fixed point theorems in H-spaces and equilibrium points of abstract economies, J. Aust. Math. Soc.(Series A), ۵۳(۱۹۹۲), ۲۵۲-۲۶۰]. An example is also constructed in support of fuzzy vector equilibrium problem.

کلیدواژه ها:

Equilibrium ، Upper semicontinuity ، Fuzzy mapping ، H-space