Chengbo Zhaı
Abstract
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.
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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.
Key concepts: Mathematics, Fixed-point theorem, Schauder fixed point theorem, Coincidence point, Kakutani fixed-point theorem, Fixed-point property, Brouwer fixed-point theorem, Type (biology)