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Some results on invariant approximation. (English) Zbl 0813.47067

The author generalizes and unifies previous results by Meinardus, Brosowski, Habernick, Rao, Zhang, and others, on the existence of a fixed point of a nonexpansive map which is closest to a given fixed point.

MSC:

47H10 Fixed-point theorems
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
54H25 Fixed-point and coincidence theorems (topological aspects)
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