Existence and Stability of Solutions for Generalized Symmetric Strong Vector Quasi-equilibrium Problems

Abstract

In this paper, a class of generalized symmetric strong vector quasi-equilibrium problems in real locally convex Hausdorff topological vector spaces is studied. By using the Kakutani-Fan-Glicksberg fixed point theorem, an existence theorem of solutions for the generalized symmetric strong vector quasi-equilibrium problems is obtained. Moreover, the closedness of the solution set and a stability result of solutions for such problem are also derived