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《Acta Analysis Functionalis Applicata》 2008-01
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KKM Property and Fixed Point Theorems in L-Spaces

LIAN Xiu-guo1,2, ZHAI Cheng-bo11. School of Mathematics Science, Shanxi University, Taiyuan 030006, China2. Department of Mathematics, Dezhou University, Dezhou 253023, China  
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-Browder′s type fixed point theorem in L-spaces. We also obtain a generalized Ky Fan′s matching theorem and a coincidence point theorem in L-spaces.
【Fund】: This work was supported by Fund of National Natural Science of China (10371068);; Fund of Natural Science of Shanxi Province (20041003)
【CateGory Index】: O177.91
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