## 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.

Zbl 0191.14901
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