Existence of solutions for generalized quasiequilibrium problems

Abstract

In this paper, we establish some existence theorems by using Kakutani-Fan-Glicksberg fixed-point theorem for generalized quasiequilibrium problems in real locally convex Hausdorff topological vector spaces. Moreover, we also discuss closeness of the solution sets of generalized quasiequilibrium problems. The results presented in the paper improve and extend the main results of Long et al in [3], Plubtieng - Sitthithakerngkietet  in [5] and Yang-Pu in [6].