L-空间中的KKM映射及不动点定理(英文)  

KKM Property and Fixed Point Theorems in L-Spaces

作　　者：连秀国[1] 翟成波[1] 

机构地区：[1]山西大学数学科学学院

出　　处：《应用泛函分析学报》2008年第1期8-14,共7页Acta Analysis Functionalis Applicata

基　　金：This work was supported by Fund of National Natural Science of China (10371068);Fund of Natural Science of Shanxi Province (20041003)

摘　　要：引入了L-空间和L-空间上的KKM类映射,建立了关于该类映射的一些不动点定理,其中包括Schauder型和Fan-Browder型不动点定理.得到了L-空间中的Ky Fan匹配定理和叠合点定理.We introduce L-spaces and the class of KKM-type mappings on L-spaces and establish some fixed point theorems for this class including Schauder＇s type fixed point theorem and Fan- Browderrs type fixed point theorem in L-spaces. We also obtain a generalized Ky Fanrs matching theorem and a coincidence point theorem in L-spaces.

关 键 词：KKM映射 L-空间 KY Fan匹配定理 Fan—Browder型不动点定理 

分 类 号：O189[理学—数学]