完备L-凸度量空间中的Ky Fan匹配定理及其对抽象经济的应用(英文)  

A Ky Fan Matching Theorem in Complete L-Convex Metric Spaces and Its 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：《应用数学》2007年第3期593-597,共5页Mathematica Applicata

基　　金：Supported by the Scientific Research Foundation of Bijie University(20062002)

摘　　要：在完备L-凸度量空间中建立了一个转移紧开覆盖的Ky Fan匹配定理.作为应用,获得了Fan-Browder重合定理和极大元定理.最后,研究了完备L-凸度量空间中抽象经济和定性对策的平衡存在定理.A Ky Fan matching theorem for transfer compactly open covers in complete L-convex metric spaces is established. As applications,a Fan-Browder coincidence theorem and a maximal element theorem are obtained. Finally, equilibrium existence theorems for abstract economies and qualitative games in complete L-convex metric spaces are yielded.

关 键 词：L-凸度量空间 转移紧开(闭) 非紧性测度 匹配 极大元 抽象经济 

分 类 号：O177.91[理学—数学]