Strong Convergence of an Implicit Iteration Algorithm for a Finite Family of Pseudocontractive Mappings

Strong convergence theorems for approximation of common fixed points of a finite family of pseudocontractive mappings are proven in Banach spaces using an implicit iteration scheme. The results presented in this paper improve and extend the corresponding results of Osilike, Xu and Ori, Chidume and S...

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Main Authors: Yeong-Cheng Liou, Yonghong Yao
Format: Article
Language:English
Published: SpringerOpen 2008-04-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2008/280908
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spelling doaj-76f7301b19bb4d6e82f7e2c6bb62028a2020-11-25T00:29:52ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2008-04-01200810.1155/2008/280908Strong Convergence of an Implicit Iteration Algorithm for a Finite Family of Pseudocontractive MappingsYeong-Cheng LiouYonghong YaoStrong convergence theorems for approximation of common fixed points of a finite family of pseudocontractive mappings are proven in Banach spaces using an implicit iteration scheme. The results presented in this paper improve and extend the corresponding results of Osilike, Xu and Ori, Chidume and Shahzad, and others.http://dx.doi.org/10.1155/2008/280908
collection DOAJ
language English
format Article
sources DOAJ
author Yeong-Cheng Liou
Yonghong Yao
spellingShingle Yeong-Cheng Liou
Yonghong Yao
Strong Convergence of an Implicit Iteration Algorithm for a Finite Family of Pseudocontractive Mappings
Journal of Inequalities and Applications
author_facet Yeong-Cheng Liou
Yonghong Yao
author_sort Yeong-Cheng Liou
title Strong Convergence of an Implicit Iteration Algorithm for a Finite Family of Pseudocontractive Mappings
title_short Strong Convergence of an Implicit Iteration Algorithm for a Finite Family of Pseudocontractive Mappings
title_full Strong Convergence of an Implicit Iteration Algorithm for a Finite Family of Pseudocontractive Mappings
title_fullStr Strong Convergence of an Implicit Iteration Algorithm for a Finite Family of Pseudocontractive Mappings
title_full_unstemmed Strong Convergence of an Implicit Iteration Algorithm for a Finite Family of Pseudocontractive Mappings
title_sort strong convergence of an implicit iteration algorithm for a finite family of pseudocontractive mappings
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2008-04-01
description Strong convergence theorems for approximation of common fixed points of a finite family of pseudocontractive mappings are proven in Banach spaces using an implicit iteration scheme. The results presented in this paper improve and extend the corresponding results of Osilike, Xu and Ori, Chidume and Shahzad, and others.
url http://dx.doi.org/10.1155/2008/280908
work_keys_str_mv AT yeongchengliou strongconvergenceofanimplicititerationalgorithmforafinitefamilyofpseudocontractivemappings
AT yonghongyao strongconvergenceofanimplicititerationalgorithmforafinitefamilyofpseudocontractivemappings
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