New Iterative Approximation Methods for a Countable Family of Nonexpansive Mappings in Banach Spaces
<p/> <p>We introduce new general iterative approximation methods for finding a common fixed point of a countable family of nonexpansive mappings. Strong convergence theorems are established in the framework of reflexive Banach spaces which admit a weakly continuous duality mapping. Final...
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Series: | Fixed Point Theory and Applications |
Online Access: | http://www.fixedpointtheoryandapplications.com/content/2011/671754 |
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doaj-b551a0b7fcbc4bc1b599ca7eba3f66112020-11-25T01:00:41ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122011-01-0120111671754New Iterative Approximation Methods for a Countable Family of Nonexpansive Mappings in Banach SpacesWangkeeree RabianNammanee Kamonrat<p/> <p>We introduce new general iterative approximation methods for finding a common fixed point of a countable family of nonexpansive mappings. Strong convergence theorems are established in the framework of reflexive Banach spaces which admit a weakly continuous duality mapping. Finally, we apply our results to solve the the equilibrium problems and the problem of finding a zero of an accretive operator. The results presented in this paper mainly improve on the corresponding results reported by many others.</p>http://www.fixedpointtheoryandapplications.com/content/2011/671754 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Wangkeeree Rabian Nammanee Kamonrat |
spellingShingle |
Wangkeeree Rabian Nammanee Kamonrat New Iterative Approximation Methods for a Countable Family of Nonexpansive Mappings in Banach Spaces Fixed Point Theory and Applications |
author_facet |
Wangkeeree Rabian Nammanee Kamonrat |
author_sort |
Wangkeeree Rabian |
title |
New Iterative Approximation Methods for a Countable Family of Nonexpansive Mappings in Banach Spaces |
title_short |
New Iterative Approximation Methods for a Countable Family of Nonexpansive Mappings in Banach Spaces |
title_full |
New Iterative Approximation Methods for a Countable Family of Nonexpansive Mappings in Banach Spaces |
title_fullStr |
New Iterative Approximation Methods for a Countable Family of Nonexpansive Mappings in Banach Spaces |
title_full_unstemmed |
New Iterative Approximation Methods for a Countable Family of Nonexpansive Mappings in Banach Spaces |
title_sort |
new iterative approximation methods for a countable family of nonexpansive mappings in banach spaces |
publisher |
SpringerOpen |
series |
Fixed Point Theory and Applications |
issn |
1687-1820 1687-1812 |
publishDate |
2011-01-01 |
description |
<p/> <p>We introduce new general iterative approximation methods for finding a common fixed point of a countable family of nonexpansive mappings. Strong convergence theorems are established in the framework of reflexive Banach spaces which admit a weakly continuous duality mapping. Finally, we apply our results to solve the the equilibrium problems and the problem of finding a zero of an accretive operator. The results presented in this paper mainly improve on the corresponding results reported by many others.</p> |
url |
http://www.fixedpointtheoryandapplications.com/content/2011/671754 |
work_keys_str_mv |
AT wangkeereerabian newiterativeapproximationmethodsforacountablefamilyofnonexpansivemappingsinbanachspaces AT nammaneekamonrat newiterativeapproximationmethodsforacountablefamilyofnonexpansivemappingsinbanachspaces |
_version_ |
1715878572490489856 |