On Generalized Implicit Operator Equilibrium Problems

Abstract

In this paper, we introduce and study a class of generalized implicit operator equilibrium problems (In short, GIOEP) and derive some propositions for this class of problems. We also prove some new existence results for the solution of this problem by using Fan KKM theorems in Hausdor topological vector spaces. The results presented in this paper generalize and unify the corresponding results of several authors which are extensions of previously known results. Keywords and Phrases: Equilibrium problem, Q- In this paper, we introduce and study a class of generalized implicit operator equilibrium problems (In short, GIOEP) and derive some propositions for this class of problems. We also prove some new existence results for the solution of this problem by using Fan KKM theorems in Hausdor topological vector spaces. The results presented in this paper generalize and unify the corresponding results of several authors which are extensions of previously known results