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.
基金
毕节学院科研经费资助项目。项目编号:20072001。
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
Hyperconvex metric space
sub-admissible subset
generalized metric S-KKM mapping
matching
coincidence
qualitative game
abstract economy
