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Proceedings of the American Mathematical Society

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

 
 

 

The almost fixed point property for nonexpansive mappings


Author: Simeon Reich
Journal: Proc. Amer. Math. Soc. 88 (1983), 44-46
MSC: Primary 47H10
DOI: https://doi.org/10.1090/S0002-9939-1983-0691276-4
MathSciNet review: 691276
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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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DOI: https://doi.org/10.1090/S0002-9939-1983-0691276-4
Keywords: Almost fixed point property, linearly bounded, nonexpansive mapping
Article copyright: © Copyright 1983 American Mathematical Society

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