Generalized implicit vector equilibrium problem

Abstract

This article undertakes to study a generalized implicit vector equilibrium problem in the setting of Hausdorff topological vector spaces. The KKM-theorem due to [7] is applied to solve generalized implicit vector equilibrium problem and prove the existence of solution of our problem under some satiable mild conditions. Some special cases are listed and examples are constructed. The results presented in this paper extend and improve several known results in the literature.