SOME NEW EXISTENCE THEOREMS OF GENERALIZED ABSTRACT FUZZY ECONOMIES WITH APPLICATIONS

Abstract

In this paper, some new existence theorems of equilibrium and maximal element for generalized abstract fuzzy economies with uncountable number of agents and qualitative fuzzy games are proved in $G$-convex spaces, respectively. As applications, some existence theorems of equilibria for abstract economies are given in $G$-convex spaces. The results presented in this paper generalize some known results in the literature.