Equilibrium existence theorems of generalized games for generalized image-majorized mapping in topological space Original Research Article

In this paper, we first introduce generalized Lθ,FcLθ,Fc-correspondence and generalized Lθ,FcLθ,Fc-majorized mappings without open lower sections in the nonconvexity setting of topological space. Some existence theorems of maximal elements for generalized Lθ,FcLθ,Fc-correspondence and generalized Lθ,FcLθ,Fc-majorized mappings are obtained in topological spaces without convexity. As applications, we establish new equilibrium existence theorems for qualitative games and generalized games with infinite sets of players and generalized Lθ,FcLθ,Fc-majorized preference correspondences in topological spaces without convexity. Our results generalize and improve the corresponding results in the recent literature.