Some iterative methods for coincidence points of two continuous functions on closed interval

© 2017 by the Mathematical Association of Thailand. All rights reserved. In this paper, we introduce and study an iterative method, called SN-iteration, for approximating a coincidence point of two continuous functions on closed interval in R. A necessary and sufficient condition for convergence of...

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Bibliographic Details
Main Authors: Supaporn Nirunruttanakit, Suthep Suantai
Format: Journal
Published: 2018
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85028772973&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/57525
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Institution: Chiang Mai University
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Summary:© 2017 by the Mathematical Association of Thailand. All rights reserved. In this paper, we introduce and study an iterative method, called SN-iteration, for approximating a coincidence point of two continuous functions on closed interval in R. A necessary and sufficient condition for convergence of the proposed method is presented. Moreover, we compare the rate of convergence between SN-iteration and W-iteration. Some numerical examples supporting our main results are also given.