Weak Pareto equilibria for generalized constrained multiobjective games in locally FC-spaces

In this paper, we introduce and study a new class of generalized constrained multiobjective games in locally FC-spaces without convexity structure where the number of players may be finite or infinite and all payoff functions get their values in an infinite-dimensional space. By using a Himmelberg type fixed point theorem due to the author, some existence theorems of weak Pareto equilibria for the generalized constrained multiobjective games are established in noncompact locally FC-spaces. These theorems improve, unify and generalize the corresponding results in the recent literature.