Hybrid algorithm for common best proximity points of some generalized nonself nonexpansive mappings

© 2018 John Wiley & Sons, Ltd. In this paper, we first introduce a new class of generalized nonself nonexpansive mappings, called C-Berinde nonexpansive mappings, and study common best proximity point of two mappings in this class. We propose two hybrid algorithms for finding common best proxi...

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Main Authors:	Nuttawut Bunlue, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Engineering Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85052819728&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62714
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-62714
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spelling	th-cmuir.6653943832-627142018-11-29T07:49:19Z Hybrid algorithm for common best proximity points of some generalized nonself nonexpansive mappings Nuttawut Bunlue Suthep Suantai Engineering Mathematics © 2018 John Wiley & Sons, Ltd. In this paper, we first introduce a new class of generalized nonself nonexpansive mappings, called C-Berinde nonexpansive mappings, and study common best proximity point of two mappings in this class. We propose two hybrid algorithms for finding common best proximity points of two best proximally nonexpansive mappings for which one of them is C-Berinde nonself nonexpansive mapping. Strong convergence analysis of the proposed methods are discussed in a real Hilbert space. Moreover, we also give a numerical example to support our main results. 2018-11-29T07:42:58Z 2018-11-29T07:42:58Z 2018-01-01 Journal 10991476 01704214 2-s2.0-85052819728 10.1002/mma.5227 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85052819728&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62714
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Engineering Mathematics
spellingShingle	Engineering Mathematics Nuttawut Bunlue Suthep Suantai Hybrid algorithm for common best proximity points of some generalized nonself nonexpansive mappings
description	© 2018 John Wiley & Sons, Ltd. In this paper, we first introduce a new class of generalized nonself nonexpansive mappings, called C-Berinde nonexpansive mappings, and study common best proximity point of two mappings in this class. We propose two hybrid algorithms for finding common best proximity points of two best proximally nonexpansive mappings for which one of them is C-Berinde nonself nonexpansive mapping. Strong convergence analysis of the proposed methods are discussed in a real Hilbert space. Moreover, we also give a numerical example to support our main results.
format	Journal
author	Nuttawut Bunlue Suthep Suantai
author_facet	Nuttawut Bunlue Suthep Suantai
author_sort	Nuttawut Bunlue
title	Hybrid algorithm for common best proximity points of some generalized nonself nonexpansive mappings
title_short	Hybrid algorithm for common best proximity points of some generalized nonself nonexpansive mappings
title_full	Hybrid algorithm for common best proximity points of some generalized nonself nonexpansive mappings
title_fullStr	Hybrid algorithm for common best proximity points of some generalized nonself nonexpansive mappings
title_full_unstemmed	Hybrid algorithm for common best proximity points of some generalized nonself nonexpansive mappings
title_sort	hybrid algorithm for common best proximity points of some generalized nonself nonexpansive mappings
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85052819728&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62714
_version_	1681425858566291456

Hybrid algorithm for common best proximity points of some generalized nonself nonexpansive mappings

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