Convergence theorems of fixed point iterative methods defined by admissible functions

© 2015 by the Mathematical Association of Thailand. All rights reserved. The purpose of this paper is to prove some convergence theorems for fixed point iterative methods defined by means of the new concept of admissible function, introduced by Rus 1]. Moreover, we find some sufficient conditions fo...

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Main Authors: Nuttawut Bunlue, Suthep Suantai
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/44003
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-440032018-04-25T07:44:35Z Convergence theorems of fixed point iterative methods defined by admissible functions Nuttawut Bunlue Suthep Suantai Agricultural and Biological Sciences © 2015 by the Mathematical Association of Thailand. All rights reserved. The purpose of this paper is to prove some convergence theorems for fixed point iterative methods defined by means of the new concept of admissible function, introduced by Rus 1]. Moreover, we find some sufficient conditions for weak and strong convergences of general iterative methods for nonexpansive mappings and their generalizations. The results obtained in this paper extend and generalize many known results in the studied area. 2018-01-24T04:37:00Z 2018-01-24T04:37:00Z 2015-12-01 Journal 16860209 2-s2.0-84952892720 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84952892720&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/44003
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Agricultural and Biological Sciences
spellingShingle Agricultural and Biological Sciences
Nuttawut Bunlue
Suthep Suantai
Convergence theorems of fixed point iterative methods defined by admissible functions
description © 2015 by the Mathematical Association of Thailand. All rights reserved. The purpose of this paper is to prove some convergence theorems for fixed point iterative methods defined by means of the new concept of admissible function, introduced by Rus 1]. Moreover, we find some sufficient conditions for weak and strong convergences of general iterative methods for nonexpansive mappings and their generalizations. The results obtained in this paper extend and generalize many known results in the studied area.
format Journal
author Nuttawut Bunlue
Suthep Suantai
author_facet Nuttawut Bunlue
Suthep Suantai
author_sort Nuttawut Bunlue
title Convergence theorems of fixed point iterative methods defined by admissible functions
title_short Convergence theorems of fixed point iterative methods defined by admissible functions
title_full Convergence theorems of fixed point iterative methods defined by admissible functions
title_fullStr Convergence theorems of fixed point iterative methods defined by admissible functions
title_full_unstemmed Convergence theorems of fixed point iterative methods defined by admissible functions
title_sort convergence theorems of fixed point iterative methods defined by admissible functions
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84952892720&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/44003
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