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Article:Strong Convergence of SP Iterative Scheme for Quasi-Contractive Operators

by Renu Chugh, Vivek Kumar
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 31 - Number 5
Year of Publication: 2011
Authors: Renu Chugh, Vivek Kumar
10.5120/3820-5294

Renu Chugh, Vivek Kumar . Article:Strong Convergence of SP Iterative Scheme for Quasi-Contractive Operators. International Journal of Computer Applications. 31, 5 ( October 2011), 21-27. DOI=10.5120/3820-5294

@article{ 10.5120/3820-5294,
author = { Renu Chugh, Vivek Kumar },
title = { Article:Strong Convergence of SP Iterative Scheme for Quasi-Contractive Operators },
journal = { International Journal of Computer Applications },
issue_date = { October 2011 },
volume = { 31 },
number = { 5 },
month = { October },
year = { 2011 },
issn = { 0975-8887 },
pages = { 21-27 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume31/number5/3820-5294/ },
doi = { 10.5120/3820-5294 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:17:20.895248+05:30
%A Renu Chugh
%A Vivek Kumar
%T Article:Strong Convergence of SP Iterative Scheme for Quasi-Contractive Operators
%J International Journal of Computer Applications
%@ 0975-8887
%V 31
%N 5
%P 21-27
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper , we study the strong convergence of SP iterative scheme for quasi-contractive operators in Banach spaces. We show that Picard , Mann , Ishikawa , Noor, new two step and SP iterative schemes are equivalent for quasi-contractive operators. In addition, we show that the rate of convergence of SP iterative scheme is better than the other iterative schemes mentioned above for increasing and decreasing functions.

References
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Index Terms

Computer Science
Information Sciences

Keywords

SP iteration Picard iteration Mann iteration Ishikawa iteration Noor iteration new two step iteration Strong convergence Quasi-contractive operators

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