New GMS-KKM Theorems in Noncompct Hyperconvex Spaces And the Application to Abstract Economies
Wen Kai-ting · Journal of Bijie University · 2008
In this paper,new generalized metric S-KKM theorems are obtained when S is a set-valued mapping in noncompact hyperconvex spaces.As applications,a Ky Fan matching theorem for transfer open covers,a Fan- Browder coincidence theorem and maximal element theorem are established.Finally,equilibrium existence theorems for quahtative games and abstract economies in noncompact hyperconvex spaces are yielded.