Fixed point theorems in uniformly convex Banach spaces-Reference-Cited by-同舟云学术

Fixed point theorems in uniformly convex Banach spaces

Published:1974 Issue:2 Volume:44 Page:369-374
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Edelstein Michael

Abstract

The notion of an asymptotic center is used to prove a number of results concerning the existence of fixed points under certain selfmappings of a closed and bounded convex subset of a uniformly convex Banach space.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1974-044-02/S0002-9939-1974-0358451-4/S0002-9939-1974-0358451-4.pdf

Reference4 articles.

1. Nonexpansive nonlinear operators in a Banach space;Browder, Felix E.;Proc. Nat. Acad. Sci. U.S.A.,1965

2. The construction of an asymptotic center with a fixed-point property;Edelstein, Michael;Bull. Amer. Math. Soc.,1972

3. Zum Prinzip der kontraktiven Abbildung;Göhde, Dietrich;Math. Nachr.,1965

4. A fixed point theorem for mappings which do not increase distances;Kirk, W. A.;Amer. Math. Monthly,1965

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