A Class of Generalized Operator Quasi-Equilibrium Problems

Abstract

In this work, introduce and study a generalized operator quasi-equilibrium problems (in short, OQEP) in the setting of topological vector spaces. We prove some new existence results for the solution of this problem by applying C(f)-quasiconvex, escaping sequence in Hausdorff topological vector spaces. The results of this paper can generalize and unify previously known corresponding results of this area.