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Common fixed points for Suzuki-generalized nonexpansive maps. (English) Zbl 1397.47005

Summary: A common fixed point theorem for a pair of maps satisfying condition (C) is proved under certain conditions. We extend the well-known DeMarr’s fixed point theorem to the case of noncommuting family of maps satisfying condition (C). As for an application, an invariant approximation theorem is also derived.

MSC:

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

Citations:

Zbl 0191.14901
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