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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Existence of a fixed point for nonexpansive mappings with closed values


Author: J. T. Markin
Journal: Proc. Amer. Math. Soc. 59 (1976), 255-259
MSC: Primary 47H10
MathSciNet review: 0420349
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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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DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0420349-2
Keywords: Fixed point, set valued map, monotone map
Article copyright: © Copyright 1976 American Mathematical Society