On the Weak Relatively Nonexpansive Mappings in Banach Spaces

In recent years, the definition of weak relatively nonexpansive mapping has been presented and studied by many authors. In this paper, we give some results about weak relatively nonexpansive mappings and give two examples which are weak relatively nonexpansive mappings but not relatively nonexpansiv...

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Main Authors: Yongfu Su, Yongchun Xu
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2010/189751
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spelling doaj-70be60fc963f4338b515fd6cc4b79ceb2020-11-24T21:17:17ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-01201010.1155/2010/189751On the Weak Relatively Nonexpansive Mappings in Banach SpacesYongfu SuYongchun XuIn recent years, the definition of weak relatively nonexpansive mapping has been presented and studied by many authors. In this paper, we give some results about weak relatively nonexpansive mappings and give two examples which are weak relatively nonexpansive mappings but not relatively nonexpansive mappings in Banach space l2 and Lp[0,1]   (1<p<+∞). http://dx.doi.org/10.1155/2010/189751
collection DOAJ
language English
format Article
sources DOAJ
author Yongfu Su
Yongchun Xu
spellingShingle Yongfu Su
Yongchun Xu
On the Weak Relatively Nonexpansive Mappings in Banach Spaces
Fixed Point Theory and Applications
author_facet Yongfu Su
Yongchun Xu
author_sort Yongfu Su
title On the Weak Relatively Nonexpansive Mappings in Banach Spaces
title_short On the Weak Relatively Nonexpansive Mappings in Banach Spaces
title_full On the Weak Relatively Nonexpansive Mappings in Banach Spaces
title_fullStr On the Weak Relatively Nonexpansive Mappings in Banach Spaces
title_full_unstemmed On the Weak Relatively Nonexpansive Mappings in Banach Spaces
title_sort on the weak relatively nonexpansive mappings in banach spaces
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2010-01-01
description In recent years, the definition of weak relatively nonexpansive mapping has been presented and studied by many authors. In this paper, we give some results about weak relatively nonexpansive mappings and give two examples which are weak relatively nonexpansive mappings but not relatively nonexpansive mappings in Banach space l2 and Lp[0,1]   (1<p<+∞).
url http://dx.doi.org/10.1155/2010/189751
work_keys_str_mv AT yongfusu ontheweakrelativelynonexpansivemappingsinbanachspaces
AT yongchunxu ontheweakrelativelynonexpansivemappingsinbanachspaces
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