The almost fixed point property for nonexpansive mappings

Reich, Simeon

doi:10.1090/S0002-9939-1983-0691276-4

The almost fixed point property for nonexpansive mappings
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by Simeon Reich

Proc. Amer. Math. Soc. 88 (1983), 44-46

DOI: https://doi.org/10.1090/S0002-9939-1983-0691276-4

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Abstract:

It is shown that a closed convex subset of a reflexive Banach space has the almost fixed point property for nonexpansive mappings if and only if it is linearly bounded.

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The fixed point property for nonexpansive mappings

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