On the error estimation and T-stability of the Ishikawa iteration for strongly demicontractive mappings

Abstract In this paper, some new formula of error estimations of Ishikawa iteration and some strong convergence theorems of strongly demicontractive mappings are first obtained. And then, convergence speeds and error estimations of the Ishikawa iteration and the Mann iteration are discussed in some...

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Main Authors:	Chao Wang, Xueli Li, Pengkun Huang
Format:	Article
Language:	English
Published:	SpringerOpen 2019-03-01
Series:	Journal of Inequalities and Applications
Subjects:	Error estimation Ishikawa iteration Mann iteration Strongly demicontractive mappings T-stability
Online Access:	http://link.springer.com/article/10.1186/s13660-019-2031-9

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spelling	doaj-df2a7713f9834504878e6d740d5097622020-11-25T01:38:07ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-03-012019111210.1186/s13660-019-2031-9On the error estimation and T-stability of the Ishikawa iteration for strongly demicontractive mappingsChao Wang0Xueli Li1Pengkun Huang2School of Mathematics and Statistics, Nanjing University of Information Science and TechnologySchool of Mathematics and Statistics, Nanjing University of Information Science and TechnologyReading Academy, Nanjing University of Information Science and TechnologyAbstract In this paper, some new formula of error estimations of Ishikawa iteration and some strong convergence theorems of strongly demicontractive mappings are first obtained. And then, convergence speeds and error estimations of the Ishikawa iteration and the Mann iteration are discussed in some examples. Finally, T-stability of the Ishikawa iteration is proved.http://link.springer.com/article/10.1186/s13660-019-2031-9Error estimationIshikawa iterationMann iterationStrongly demicontractive mappingsT-stability
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Chao Wang Xueli Li Pengkun Huang
spellingShingle	Chao Wang Xueli Li Pengkun Huang On the error estimation and T-stability of the Ishikawa iteration for strongly demicontractive mappings Journal of Inequalities and Applications Error estimation Ishikawa iteration Mann iteration Strongly demicontractive mappings T-stability
author_facet	Chao Wang Xueli Li Pengkun Huang
author_sort	Chao Wang
title	On the error estimation and T-stability of the Ishikawa iteration for strongly demicontractive mappings
title_short	On the error estimation and T-stability of the Ishikawa iteration for strongly demicontractive mappings
title_full	On the error estimation and T-stability of the Ishikawa iteration for strongly demicontractive mappings
title_fullStr	On the error estimation and T-stability of the Ishikawa iteration for strongly demicontractive mappings
title_full_unstemmed	On the error estimation and T-stability of the Ishikawa iteration for strongly demicontractive mappings
title_sort	on the error estimation and t-stability of the ishikawa iteration for strongly demicontractive mappings
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2019-03-01
description	Abstract In this paper, some new formula of error estimations of Ishikawa iteration and some strong convergence theorems of strongly demicontractive mappings are first obtained. And then, convergence speeds and error estimations of the Ishikawa iteration and the Mann iteration are discussed in some examples. Finally, T-stability of the Ishikawa iteration is proved.
topic	Error estimation Ishikawa iteration Mann iteration Strongly demicontractive mappings T-stability
url	http://link.springer.com/article/10.1186/s13660-019-2031-9
work_keys_str_mv	AT chaowang ontheerrorestimationandtstabilityoftheishikawaiterationforstronglydemicontractivemappings AT xuelili ontheerrorestimationandtstabilityoftheishikawaiterationforstronglydemicontractivemappings AT pengkunhuang ontheerrorestimationandtstabilityoftheishikawaiterationforstronglydemicontractivemappings
_version_	1725054997559771136

On the error estimation and T-stability of the Ishikawa iteration for strongly demicontractive mappings

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