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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2009
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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) |
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Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433 |
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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 |
_version_ |
1718396300631736320 |