Comparison of the rate of convergence of various iterative methods for the class of weak contractions in Banach spaces

In this article, we propose a new iterative method for finding fixed points of a class of weak contractions in arbitrary Banach spaces. Comparison of the rate of convergence between Mann, Ishikawa, Noor iterations, and the proposed iterative method are also discussed. It is shown that the proposed i...

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Main Authors:	Withun Phuengrattana, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84877138108&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52760
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-52760
record_format	dspace
spelling	th-cmuir.6653943832-527602018-09-04T09:31:43Z Comparison of the rate of convergence of various iterative methods for the class of weak contractions in Banach spaces Withun Phuengrattana Suthep Suantai Mathematics In this article, we propose a new iterative method for finding fixed points of a class of weak contractions in arbitrary Banach spaces. Comparison of the rate of convergence between Mann, Ishikawa, Noor iterations, and the proposed iterative method are also discussed. It is shown that the proposed iterative method converges faster than the others. Moreover, we give a numerical example for comparing the rate of convergence of those methods. © 2013 by the Mathematical Association of Thailand. All rights reserved. 2018-09-04T09:31:43Z 2018-09-04T09:31:43Z 2013-04-01 Journal 16860209 2-s2.0-84877138108 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84877138108&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52760
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Withun Phuengrattana Suthep Suantai Comparison of the rate of convergence of various iterative methods for the class of weak contractions in Banach spaces
description	In this article, we propose a new iterative method for finding fixed points of a class of weak contractions in arbitrary Banach spaces. Comparison of the rate of convergence between Mann, Ishikawa, Noor iterations, and the proposed iterative method are also discussed. It is shown that the proposed iterative method converges faster than the others. Moreover, we give a numerical example for comparing the rate of convergence of those methods. © 2013 by the Mathematical Association of Thailand. All rights reserved.
format	Journal
author	Withun Phuengrattana Suthep Suantai
author_facet	Withun Phuengrattana Suthep Suantai
author_sort	Withun Phuengrattana
title	Comparison of the rate of convergence of various iterative methods for the class of weak contractions in Banach spaces
title_short	Comparison of the rate of convergence of various iterative methods for the class of weak contractions in Banach spaces
title_full	Comparison of the rate of convergence of various iterative methods for the class of weak contractions in Banach spaces
title_fullStr	Comparison of the rate of convergence of various iterative methods for the class of weak contractions in Banach spaces
title_full_unstemmed	Comparison of the rate of convergence of various iterative methods for the class of weak contractions in Banach spaces
title_sort	comparison of the rate of convergence of various iterative methods for the class of weak contractions in banach spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84877138108&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52760
_version_	1681424009963503616

Comparison of the rate of convergence of various iterative methods for the class of weak contractions in Banach spaces

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