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Weak Stability Results for Jungck-Ishikawa Iteration

by Bhagwati Prasad, Ritu Sahni
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 16 - Number 4
Year of Publication: 2011
Authors: Bhagwati Prasad, Ritu Sahni
10.5120/2000-2696

Bhagwati Prasad, Ritu Sahni . Weak Stability Results for Jungck-Ishikawa Iteration. International Journal of Computer Applications. 16, 4 ( February 2011), 28-33. DOI=10.5120/2000-2696

@article{ 10.5120/2000-2696,
author = { Bhagwati Prasad, Ritu Sahni },
title = { Weak Stability Results for Jungck-Ishikawa Iteration },
journal = { International Journal of Computer Applications },
issue_date = { February 2011 },
volume = { 16 },
number = { 4 },
month = { February },
year = { 2011 },
issn = { 0975-8887 },
pages = { 28-33 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume16/number4/2000-2696/ },
doi = { 10.5120/2000-2696 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:03:59.536586+05:30
%A Bhagwati Prasad
%A Ritu Sahni
%T Weak Stability Results for Jungck-Ishikawa Iteration
%J International Journal of Computer Applications
%@ 0975-8887
%V 16
%N 4
%P 28-33
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The stability of iterative procedures plays an important role while solving the nonlinear equations obtained out of a physical problem using the advanced computational tools. The main purpose of this paper is to present a weaker stability result for Jungck-Ishikawa iteration process for a map satisfying some general contractive conditions in metric spaces. Some well known recent results are also derived as special cases. An example is given to support the rationality of the used iterative scheme.

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Index Terms

Computer Science
Information Sciences

Keywords

Weak stability W 2 -stability equivalent sequence Jungck Iteration Jungck-Ishikawa iteration