Pareto equilibria for constrained multiobjective games in locally L-convex spaces

In this paper, we introduce and study a class of constrained multiobjective games in locally L-convex spaces without linear structure. A new fixed-point theorem for a family of set-valued mappings and an existence theorem of solutions for a system of quasi-equilibrium problems are first proved in noncompact locally L-convex spaces. As applications, several existence theorems of weighted Nash-equilibria and Pareto equilibria for the constrained multiobjective games are established in noncompact locally L-convex spaces. These theorems improve, unify, and generalize the corresponding results of the multiobjective games in recent literature.