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Proceedings of the American Mathematical Society

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

 

 

On the converse of the nonexpansive map fixed point theorem for Hilbert space


Author: Robert Sine
Journal: Proc. Amer. Math. Soc. 100 (1987), 489-490
MSC: Primary 47H15
DOI: https://doi.org/10.1090/S0002-9939-1987-0891152-1
MathSciNet review: 891152
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Abstract: A simple proof is given of Ray's theorem that a nonempty, closed, convex, and unbounded set in Hilbert space admits a fixed point free nonexpansive map.


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DOI: https://doi.org/10.1090/S0002-9939-1987-0891152-1
Article copyright: © Copyright 1987 American Mathematical Society