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On the Weak Stability of Picard Iteration for Some Contractive Type Mappings and Coincidence Theorems
by
Ioana Timis
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 37 - Number 4 |
| Year of Publication: 2012 |
| Authors: Ioana Timis |
10.5120/4595-6549
|
Ioana Timis . On the Weak Stability of Picard Iteration for Some Contractive Type Mappings and Coincidence Theorems. International Journal of Computer Applications. 37, 4 ( January 2012), 9-13. DOI=10.5120/4595-6549
@article{
10.5120/4595-6549,
author = {
Ioana Timis
},
title = { On the Weak Stability of Picard Iteration for Some Contractive Type Mappings and Coincidence Theorems },
journal = {
International Journal of Computer Applications
},
issue_date = { January 2012 },
volume = { 37 },
number = { 4 },
month = { January },
year = { 2012 },
issn = { 0975-8887 },
pages = {
9-13
},
numpages = {9},
url = {
https://ijcaonline.org/archives/volume37/number4/4595-6549/
},
doi = { 10.5120/4595-6549 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:23:25.256509+05:30
%A Ioana Timis
%T On the Weak Stability of Picard Iteration for Some Contractive Type Mappings and Coincidence Theorems
%J International Journal of Computer Applications
%@ 0975-8887
%V 37
%N 4
%P 9-13
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract
Starting from a weak concept of stability, introduced by Berinde [1] and called “weak stability”, in [27] we develop a weaker notion, named “w²-stability”. Therefore, in this paper we prove some results of this weaker stability concept for certain class of mappings and also we give some examples of w²-stable but not weak stable nor stable iterations. Because of the restriction of an “approximate” sequence, some fixed point iteration procedures are not weakly stable so if it is used a weaker type of sequence, the stability can be obtained in the meaning of a new concept.
References
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