Generalized implicit equilibrium problem

In this paper, first a brief history of equilibrium problems(EP) and generalized implicit vector equilibrium problems (GIVEP) are given. Then some existence theorems for GIVEP are presented, also some suitable conditions in order the solution set of GIVEP is compact and convex for set-valued mappings whose are a subset of the cartesian product of Hausdorff topological vector space and their range is a subset of a topological space values (not necessarily locally convex or a topological vector space).

کلیدواژه ها:

KKM mpping ، implicit equilibrium proble