Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces-Reference-Cited by-同舟云学术

Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces

Published:2018-12-01 Issue:1 Volume:17 Page:67-87
ISSN:2300-133X
Container-title:Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
language:en
Short-container-title:

Author:

Lau Anthony To-Ming¹,Zhang Yong²

Affiliation:

1. Department of Mathematical and Statistical Sciences , University of Alberta , Edmonton , Alberta T6G 2G1 Canada

2. Department of Mathematics , University of Manitoba , Winnipeg , Manitoba R3T 2N2 Canada

Abstract

Abstract It has been a long-standing problem posed by the first author in a conference in Marseille in 1990 to characterize semitopological semigroups which have common fixed point property when acting on a nonempty weak* compact convex subset of a dual Banach space as weak* continuous and norm nonexpansive mappings. Our investigation in the paper centers around this problem. Our main results rely on the well-known Ky Fan’s inequality for convex functions.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/aupcsm-2018-0007

Reference25 articles.

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