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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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 |
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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 |
| _version_ |
1681423172384063488 |