非紧完备L-凸度量空间中的GLSKKM定理及其对抽象经济的应用(英文)  

A GLSKKM Theorem in Noncompact Complete L-Convex Metric Spaces and Its Applications 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：《四川师范大学学报（自然科学版）》2010年第2期166-170,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：This work was supported by the Natural Science Research Foundation of Guizhou Provincial Education Department(2008072)~~

摘　　要：建立了非紧完备L-凸度量空间中的GLSKKM定理.作为应用,研究了极大元集的性质,获得了一个不动点定理.最后,研究了非紧完备L-凸度量空间中的定性对策和抽象经济的平衡点集的性质.In this paper,a GLSKKM theorem is established in noncompact complete L-convex metric spaces.As applications,the properties of maximal element sets are shown and a fixed point theorem is obtained.Finally,the properties of equilibrium sets for abstract economies and qualitative games in noncompact complete L-convex metric spaces are yielded.

关 键 词：L-凸度量空间 极大元 不动点 抽象经济 平衡 

分 类 号：O177.91[理学—数学]