非紧L-凸度量空间中的GLsKKM定理及其对不动点问题的应用(英文)  

A GLsKKM Theorem in Noncompact L-convex Metric Spaces with Application to Fixed Point Problems

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》2009年第1期72-75,共4页Mathematica Applicata

基　　金：Supported by the Scientific Research Foundation of Science and Technologe Bureau of Bijie Prefecture of Guizhou Province(2008-06) ;the Scientific Research Foundation of Bijie University(20072001)

摘　　要：建立了非紧完备L-凸度量空间中的GLsKKM定理.作为应用,获得了Ky Fan截口定理,极大元定理和Fan-Browder型不动点定理.In this paper, a GLsKKM theorem is established in noncompact complete L-convex metric spaces. As applications, a Ky Fan section theorem, maximal element theorem and Fan-Browder type fixed point theorem are obtained.

关 键 词：L-凸度量空间 截口 极大元 不动点 

分 类 号：O177.91[理学—数学]