The failure of the fixed point property for unbounded sets in 𝑐₀-Reference-Cited by-同舟云学术

The failure of the fixed point property for unbounded sets in 𝑐₀

Published:2011-06-17 Issue:2 Volume:140 Page:645-650
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Benavides T.

Abstract

In this paper we prove that for every unbounded convex closed set C C in c 0 c_0 there exists a nonexpansive mapping T : C → C T:C\to C which is fixed point free. This result solves in a negative sense a question that has remained open for some time in Metric Fixed Point Theory.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2012-140-02/S0002-9939-2011-10938-9/S0002-9939-2011-10938-9.pdf

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