非紧超凸空间中新的GMS-KKM定理及其对抽象经济的应用  

New GMS-KKM Theorems in Noncompct Hyperconvex Spaces And the Application to Abstract Economies

作　　者：文开庭[1] 

机构地区：[1]毕节学院数学系,贵州毕节551700

出　　处：《毕节学院学报（综合版）》2008年第4期16-24,共9页Journal of Bijie University

基　　金：毕节学院科研经费资助项目。项目编号:20072001。

摘　　要：在非紧超凸度量空间中建立了S为集值映射的新的广义度量S-KKM定理。作为应用,获得了非紧超凸度量空间中的转移开覆盖的Ky Fan匹配定理,Fan-Browder重合定理和极大元定理。最后,研究了非紧超凸度量空间中新的定性对策和抽象经济的平衡存在定理。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 qualitative games and abstract economies in noncompact hyperconvex spaces are yielded.

关 键 词：超凸度量空间 次允许集 广义度量S—KKM映射 匹配 重合 定性对策 抽象经济 

分 类 号：O177.91[理学—数学]