Equilibrium existence theorems of generalized games for generalized [formula omitted]-majorized mapping in topological space

Abstract

In this paper, we first introduce generalized L θ , F c -correspondence and generalized L θ , F c -majorized mappings without open lower sections in the nonconvexity setting of topological space. Some existence theorems of maximal elements for generalized L θ , F c -correspondence and generalized L θ , F c -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 L θ , F c -majorized preference correspondences in topological spaces without convexity. Our results generalize and improve the corresponding results in the recent literature.