Strong Convergence of a New Iteration for a Finite Family of Accretive Operators

The viscosity approximation methods are employed to establish strong convergence of the modified Mann iteration scheme to a common zero of a finite family of accretive operators on a strictly convex Banach space with uniformly Gâteaux differentiable norm. Our work improves and extends vario...

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Autores principales: Liang-Gen Hu, Jin-Ping Wang
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Lenguaje:EN
Publicado: SpringerOpen 2009
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Acceso en línea:https://doaj.org/article/8f5cc7b3824f4386a86b094a61f6303b
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spelling oai:doaj.org-article:8f5cc7b3824f4386a86b094a61f6303b2021-12-02T11:02:33ZStrong Convergence of a New Iteration for a Finite Family of Accretive Operators10.1155/2009/4915831687-18201687-1812https://doaj.org/article/8f5cc7b3824f4386a86b094a61f6303b2009-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2009/491583https://doaj.org/toc/1687-1820https://doaj.org/toc/1687-1812The viscosity approximation methods are employed to establish strong convergence of the modified Mann iteration scheme to a common zero of a finite family of accretive operators on a strictly convex Banach space with uniformly Gâteaux differentiable norm. Our work improves and extends various results existing in the current literature. Liang-Gen HuJin-Ping WangSpringerOpenarticleApplied mathematics. Quantitative methodsT57-57.97AnalysisQA299.6-433ENFixed Point Theory and Applications, Vol 2009 (2009)
institution DOAJ
collection DOAJ
language EN
topic Applied mathematics. Quantitative methods
T57-57.97
Analysis
QA299.6-433
spellingShingle Applied mathematics. Quantitative methods
T57-57.97
Analysis
QA299.6-433
Liang-Gen Hu
Jin-Ping Wang
Strong Convergence of a New Iteration for a Finite Family of Accretive Operators
description The viscosity approximation methods are employed to establish strong convergence of the modified Mann iteration scheme to a common zero of a finite family of accretive operators on a strictly convex Banach space with uniformly Gâteaux differentiable norm. Our work improves and extends various results existing in the current literature.
format article
author Liang-Gen Hu
Jin-Ping Wang
author_facet Liang-Gen Hu
Jin-Ping Wang
author_sort Liang-Gen Hu
title Strong Convergence of a New Iteration for a Finite Family of Accretive Operators
title_short Strong Convergence of a New Iteration for a Finite Family of Accretive Operators
title_full Strong Convergence of a New Iteration for a Finite Family of Accretive Operators
title_fullStr Strong Convergence of a New Iteration for a Finite Family of Accretive Operators
title_full_unstemmed Strong Convergence of a New Iteration for a Finite Family of Accretive Operators
title_sort strong convergence of a new iteration for a finite family of accretive operators
publisher SpringerOpen
publishDate 2009
url https://doaj.org/article/8f5cc7b3824f4386a86b094a61f6303b
work_keys_str_mv AT lianggenhu strongconvergenceofanewiterationforafinitefamilyofaccretiveoperators
AT jinpingwang strongconvergenceofanewiterationforafinitefamilyofaccretiveoperators
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