Iterative methods for the split feasibility problem and the fixed point problem in Banach spaces

Iterative methods for the split feasibility problem and the fixed point problem in Banach spaces

© 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group. In this work, we suggest modifications of the self-adaptive method for solving the split feasibility problem and the fixed point problem of nonexpansive mappings in the framework of Banach spaces. Without the assumption on t...

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Main Authors: Suthep Suantai, Uamporn Witthayarat, Yekini Shehu, Prasit Cholamjiak
Format: Journal
Published: 2019
Subjects:
Decision Sciences
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85059967012&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/63634
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-636342019-03-18T02:24:05Z Iterative methods for the split feasibility problem and the fixed point problem in Banach spaces Suthep Suantai Uamporn Witthayarat Yekini Shehu Prasit Cholamjiak Decision Sciences Mathematics © 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group. In this work, we suggest modifications of the self-adaptive method for solving the split feasibility problem and the fixed point problem of nonexpansive mappings in the framework of Banach spaces. Without the assumption on the norm of the operator, we prove that the sequences generated by our algorithms weakly and strongly converge to a solution of the problems. The numerical experiments are demonstrated to show the efficiency and the implementation of our algorithms. 2019-03-18T02:22:20Z 2019-03-18T02:22:20Z 2019-01-01 Journal 10294945 02331934 2-s2.0-85059967012 10.1080/02331934.2019.1566328 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85059967012&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/63634
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Decision Sciences
Mathematics
spellingShingle Decision Sciences
Mathematics
Suthep Suantai
Uamporn Witthayarat
Yekini Shehu
Prasit Cholamjiak
Iterative methods for the split feasibility problem and the fixed point problem in Banach spaces
description © 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group. In this work, we suggest modifications of the self-adaptive method for solving the split feasibility problem and the fixed point problem of nonexpansive mappings in the framework of Banach spaces. Without the assumption on the norm of the operator, we prove that the sequences generated by our algorithms weakly and strongly converge to a solution of the problems. The numerical experiments are demonstrated to show the efficiency and the implementation of our algorithms.
format Journal
author Suthep Suantai
Uamporn Witthayarat
Yekini Shehu
Prasit Cholamjiak
author_facet Suthep Suantai
Uamporn Witthayarat
Yekini Shehu
Prasit Cholamjiak
author_sort Suthep Suantai
title Iterative methods for the split feasibility problem and the fixed point problem in Banach spaces
title_short Iterative methods for the split feasibility problem and the fixed point problem in Banach spaces
title_full Iterative methods for the split feasibility problem and the fixed point problem in Banach spaces
title_fullStr Iterative methods for the split feasibility problem and the fixed point problem in Banach spaces
title_full_unstemmed Iterative methods for the split feasibility problem and the fixed point problem in Banach spaces
title_sort iterative methods for the split feasibility problem and the fixed point problem in banach spaces
publishDate 2019
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85059967012&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/63634
_version_ 1681425931831345152

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