On Equilibrium for Abstract Economies in GFC-Spaces
Kai Ting Wen, He Rui Li · Applied Mechanics and Materials · 2014
In this paper, the GFC-KKM mapping is introduced and GFC-KKM theorems are established in GFC-spaces. As applications, a fixed point theorem and maximal element theorem are obtained. Our results unify, improve and generalize some known results in recent reference. Finally, equilibrium existence theorems for qualitative games and abstract economies are yielded in GFC-spaces.