Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces

Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces

<p/> <p>We consider two new iterative methods for a countable family of nonexpansive mappings in Hilbert spaces. We proved that the proposed algorithms strongly converge to a common fixed point of a countable family of nonexpansive mappings which solves the corresponding variational ineq...

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Main Authors: Hu Changsong, Wang Shuang
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2010/852030
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spelling doaj-abeab47a33374fdabc0845faec0e5d902020-11-24T23:07:51ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-0120101852030Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert SpacesHu ChangsongWang Shuang<p/> <p>We consider two new iterative methods for a countable family of nonexpansive mappings in Hilbert spaces. We proved that the proposed algorithms strongly converge to a common fixed point of a countable family of nonexpansive mappings which solves the corresponding variational inequality. Our results improve and extend the corresponding ones announced by many others.</p>http://www.fixedpointtheoryandapplications.com/content/2010/852030
collection DOAJ
language English
format Article
sources DOAJ
author Hu Changsong
Wang Shuang
spellingShingle Hu Changsong
Wang Shuang
Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces
Fixed Point Theory and Applications
author_facet Hu Changsong
Wang Shuang
author_sort Hu Changsong
title Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces
title_short Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces
title_full Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces
title_fullStr Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces
title_full_unstemmed Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces
title_sort two new iterative methods for a countable family of nonexpansive mappings in hilbert spaces
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2010-01-01
description <p/> <p>We consider two new iterative methods for a countable family of nonexpansive mappings in Hilbert spaces. We proved that the proposed algorithms strongly converge to a common fixed point of a countable family of nonexpansive mappings which solves the corresponding variational inequality. Our results improve and extend the corresponding ones announced by many others.</p>
url http://www.fixedpointtheoryandapplications.com/content/2010/852030
work_keys_str_mv AT huchangsong twonewiterativemethodsforacountablefamilyofnonexpansivemappingsinhilbertspaces
AT wangshuang twonewiterativemethodsforacountablefamilyofnonexpansivemappingsinhilbertspaces
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