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Moons, bridges, birds … and nonexpansive mappings in Hilbert space

Moons, bridges, birds … and nonexpansive mappings in Hilbert space

In recent years some fixed point theorems have been proved for nonexpansive mappings in Hilbert space, which have non-convex domains. The purpose of this paper is to present a simple but very useful new result of that kind and to indicate some of its consequences.