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
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2009
Materias:	Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
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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Strong Convergence of a New Iteration for a Finite Family of Accretive Operators

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