The existence of solutions for the system of generalized vector quasi-equilibrium problems

In this paper, we study the system of generalized vector quasi-equilibrium problems which includes as special cases the system of generalized vector equilibrium problems and the system of vector quasi-equilibrium problems, and establish the existence result for its solutions by means of the Kakutani-Fan-Glicksberg fixed points theorem. As special cases, we also derive the existence results for weakly Pareto-Nash equilibrium points for multiobjective generalized game problems and multiobjective game problems.