Existence of a fixed point for nonexpansive mappings with closed values

Markin, J. T.

doi:10.1090/S0002-9939-1976-0420349-2

Existence of a fixed point for nonexpansive mappings with closed values
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by J. T. Markin

Proc. Amer. Math. Soc. 59 (1976), 255-259

DOI: https://doi.org/10.1090/S0002-9939-1976-0420349-2

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Abstract:

Fixed point existence and fixed point stability results are presented for nonexpansive mappings of a Banach space $B$ into the family of nonempty closed bounded convex subsets of $B$, where $B$ is assumed separable, strictly convex, and reflexive with a weakly continuous duality mapping.

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