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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Main Authors: Supaporn Nirunruttanakit, Suthep Suantai
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/57525
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-575252018-09-05T03:45:08Z Some iterative methods for coincidence points of two continuous functions on closed interval Supaporn Nirunruttanakit Suthep Suantai Mathematics © 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. 2018-09-05T03:45:08Z 2018-09-05T03:45:08Z 2017-01-01 Journal 16860209 2-s2.0-85028772973 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85028772973&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57525
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Supaporn Nirunruttanakit
Suthep Suantai
Some iterative methods for coincidence points of two continuous functions on closed interval
description © 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.
format Journal
author Supaporn Nirunruttanakit
Suthep Suantai
author_facet Supaporn Nirunruttanakit
Suthep Suantai
author_sort Supaporn Nirunruttanakit
title Some iterative methods for coincidence points of two continuous functions on closed interval
title_short Some iterative methods for coincidence points of two continuous functions on closed interval
title_full Some iterative methods for coincidence points of two continuous functions on closed interval
title_fullStr Some iterative methods for coincidence points of two continuous functions on closed interval
title_full_unstemmed Some iterative methods for coincidence points of two continuous functions on closed interval
title_sort some iterative methods for coincidence points of two continuous functions on closed interval
publishDate 2018
url 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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