Weak Pareto equilibria for generalized constrained multiobjective games in locally image-spaces Original Research Article

In this paper, we introduce and study a new class of generalized constrained multiobjective games in locally View the MathML sourceFC-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 View the MathML sourceFC-spaces. These theorems improve, unify and generalize the corresponding results in the recent literature.