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
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84877138108&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/48022
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-480222018-04-25T08:46:45Z Comparison of the rate of convergence of various iterative methods for the class of weak contractions in Banach spaces Withun Phuengrattana Suthep Suantai 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. 2018-04-25T08:46:45Z 2018-04-25T08:46:45Z 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/6653943832/48022
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
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
spellingShingle Withun Phuengrattana
Suthep Suantai
Comparison of the rate of convergence of various iterative methods for the class of weak contractions in Banach spaces
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/6653943832/48022
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