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

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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Bibliographic Details
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
Description
Summary: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.
ISSN:1029-242X

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