Iterative Algorithms for Nonexpansive Mappings

<p>Abstract</p> <p>We suggest and analyze two new iterative algorithms for a nonexpansive mapping <inline-formula> <graphic file="1687-1812-2008-384629-i1.gif"/></inline-formula> in Banach spaces. We prove that the proposed iterative algorithms converge...

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Main Authors:	Yao Yonghong, Liou Yeong-Cheng
Format:	Article
Language:	English
Published:	SpringerOpen 2008-01-01
Series:	Fixed Point Theory and Applications
Online Access:	http://www.fixedpointtheoryandapplications.com/content/2008/384629

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spelling	doaj-0621f14ee5f04dad89811505c07f480b2020-11-25T00:29:57ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122008-01-0120081384629Iterative Algorithms for Nonexpansive MappingsYao YonghongLiou Yeong-Cheng<p>Abstract</p> <p>We suggest and analyze two new iterative algorithms for a nonexpansive mapping <inline-formula> <graphic file="1687-1812-2008-384629-i1.gif"/></inline-formula> in Banach spaces. We prove that the proposed iterative algorithms converge strongly to some fixed point of <inline-formula> <graphic file="1687-1812-2008-384629-i2.gif"/></inline-formula>.</p>http://www.fixedpointtheoryandapplications.com/content/2008/384629
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yao Yonghong Liou Yeong-Cheng
spellingShingle	Yao Yonghong Liou Yeong-Cheng Iterative Algorithms for Nonexpansive Mappings Fixed Point Theory and Applications
author_facet	Yao Yonghong Liou Yeong-Cheng
author_sort	Yao Yonghong
title	Iterative Algorithms for Nonexpansive Mappings
title_short	Iterative Algorithms for Nonexpansive Mappings
title_full	Iterative Algorithms for Nonexpansive Mappings
title_fullStr	Iterative Algorithms for Nonexpansive Mappings
title_full_unstemmed	Iterative Algorithms for Nonexpansive Mappings
title_sort	iterative algorithms for nonexpansive mappings
publisher	SpringerOpen
series	Fixed Point Theory and Applications
issn	1687-1820 1687-1812
publishDate	2008-01-01
description	<p>Abstract</p> <p>We suggest and analyze two new iterative algorithms for a nonexpansive mapping <inline-formula> <graphic file="1687-1812-2008-384629-i1.gif"/></inline-formula> in Banach spaces. We prove that the proposed iterative algorithms converge strongly to some fixed point of <inline-formula> <graphic file="1687-1812-2008-384629-i2.gif"/></inline-formula>.</p>
url	http://www.fixedpointtheoryandapplications.com/content/2008/384629
work_keys_str_mv	AT yaoyonghong iterativealgorithmsfornonexpansivemappings AT liouyeongcheng iterativealgorithmsfornonexpansivemappings
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Iterative Algorithms for Nonexpansive Mappings

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