Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces

Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces

It is well known that nonexpansive mappings do not always have fixed points for bounded sets in Banach space. The purpose of this paper is to establish fixed point theorems of nonexpansive mappings for bounded sets in Banach spaces. We study the existence of fixed points for nonexpansive mappings in...

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Main Author: Xianbing Wu
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2020/9182016
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spelling doaj-226b6a76b3d344dfa2d7e5b1d222df6a2021-07-02T19:52:15ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/91820169182016Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach SpacesXianbing Wu0Department of Mathematics, Yangtze Normal University, Fuling, Chongqing 408100, ChinaIt is well known that nonexpansive mappings do not always have fixed points for bounded sets in Banach space. The purpose of this paper is to establish fixed point theorems of nonexpansive mappings for bounded sets in Banach spaces. We study the existence of fixed points for nonexpansive mappings in bounded sets, and we present the iterative process to approximate fixed points. Some examples are given to support our results.http://dx.doi.org/10.1155/2020/9182016
collection DOAJ
language English
format Article
sources DOAJ
author Xianbing Wu
spellingShingle Xianbing Wu
Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces
Advances in Mathematical Physics
author_facet Xianbing Wu
author_sort Xianbing Wu
title Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces
title_short Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces
title_full Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces
title_fullStr Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces
title_full_unstemmed Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces
title_sort fixed point problems for nonexpansive mappings in bounded sets of banach spaces
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2020-01-01
description It is well known that nonexpansive mappings do not always have fixed points for bounded sets in Banach space. The purpose of this paper is to establish fixed point theorems of nonexpansive mappings for bounded sets in Banach spaces. We study the existence of fixed points for nonexpansive mappings in bounded sets, and we present the iterative process to approximate fixed points. Some examples are given to support our results.
url http://dx.doi.org/10.1155/2020/9182016
work_keys_str_mv AT xianbingwu fixedpointproblemsfornonexpansivemappingsinboundedsetsofbanachspaces
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