Fixed point theorems in product spaces-Reference-Cited by-同舟云学术

Fixed point theorems in product spaces

Published:1990 Issue:3 Volume:108 Page:727-729
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Kuczumow Tadeusz

Abstract

If K 1 {K_1} and K 2 {K_2} are nonempty closed weakly compact subsets of Banach spaces and they have the generic fixed point property for nonexpansive mappings, then in the maximum norm K 1 × K 2 {K_1} \times {K_2} has fixed point property for nonexpansive mappings.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1990-108-03/S0002-9939-1990-0991700-7/S0002-9939-1990-0991700-7.pdf

Reference11 articles.

1. Properties of fixed-point sets of nonexpansive mappings in Banach spaces;Bruck, Ronald E., Jr.;Trans. Amer. Math. Soc.,1973

2. A fixed point theorem for product spaces;Fora, Ali A.;Pacific J. Math.,1982

3. Fixed point theory for nonexpansive mappings;Kirk, W. A.,1981

4. Fixed point theory for nonexpansive mappings. II;Kirk, W. A.,1983

5. Nonexpansive mappings in product spaces, set-valued mappings and 𝑘-uniform rotundity;Kirk, W. A.,1986

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