Hyperconvexity and nonexpansive multifunctions-Reference-Cited by-同舟云学术

Hyperconvexity and nonexpansive multifunctions

Published:1989 Issue:2 Volume:315 Page:755-767
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Sine Robert

Abstract

It is shown that a ball intersection valued nonexpansive multifunction on a hyperconvex space admits a nonexpansive point valued selection. This implies fixed point theorems for such multifunctions and to certain point valued nonexpansive maps. The result is used to study best approximation and to show the space of all nonexpansive maps of a bounded hyperconvex space is hyperconvex.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1989-315-02/S0002-9947-1989-0954603-6/S0002-9947-1989-0954603-6.pdf

Reference19 articles.

1. Extension of uniformly continuous transformations and hyperconvex metric spaces;Aronszajn, N.;Pacific J. Math.,1956

2. Nonexpansive mapping and hyperconvex spaces;Baillon, Jean-Bernard,1988

3. B. Barbu, Nonlinear semigroups and differential equations in Banach spaces, Editura Acad., Bucuresti, 1976.

4. Fixed Point Theorems with Applications to Economics and Game Theory

5. Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences];Aubin, Jean-Pierre,1984

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