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Coincidence and fixed point theorems for functions in \(S\)-KKM class on generalized convex spaces. (English) Zbl 1102.47043

Author’s abstract: We establish a coincidence theorem in S-KKM class by means of the basic defining property for multifunctions in S-KKM. Based on this coincidence theorem, we deduce some useful corollaries and investigate the fixed point problem on uniform spaces.

MSC:

47H10 Fixed-point theorems
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
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