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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Series: | Fixed Point Theory and Applications |
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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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1716159576857903104 |