Existence of Solution for Generalized Operator Quasi-Equilibrium Problems

Abstract

In our work, we have introduced and studied generalized operator quasi-equilibrium problem (in short, GOQEP) in the setting of topological vector spaces. To prove the existence of its solution, we have used ?-condensing maps in some cases. We have also obtained operator quasi-saddle point problem. For this, we have used known fixed point theorem .Also, maximal element theorem has been used. Through the results of this paper, we intend at generalization and unification of already known corresponding results of equilibrium problems