A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping

© 2015, Cheawchan et al. For the purpose of this paper, we use the method different from the relaxed extragradient method for finding a common element of the set of fixed points of a quasi-nonexpansive mapping, the set of solutions of equilibrium problems, and the set of solutions of a modified syst...

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Main Authors:	Kanyarat Cheawchan, Suthep Suantai, Atid Kangtunyakarn
Format:	Journal
Published:	2018
Subjects:	Agricultural and Biological Sciences
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84948417278&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/44024
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-44024
record_format	dspace
spelling	th-cmuir.6653943832-440242018-04-25T07:44:49Z A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping Kanyarat Cheawchan Suthep Suantai Atid Kangtunyakarn Agricultural and Biological Sciences © 2015, Cheawchan et al. For the purpose of this paper, we use the method different from the relaxed extragradient method for finding a common element of the set of fixed points of a quasi-nonexpansive mapping, the set of solutions of equilibrium problems, and the set of solutions of a modified system of variational inequalities without demiclosed condition of W and W ω :=(1−ω)I+ωW, where W is a quasi-nonexpansive mapping and (Formula presented.) in the framework of Hilbert space. By using our main result, we obtain a strong convergence theorem involving a finite family of nonspreading mappings and another corollary. Moreover, we give a numerical example to encourage our main theorem. 2018-01-24T04:37:10Z 2018-01-24T04:37:10Z 2015-12-01 Journal 16871812 16871820 2-s2.0-84948417278 10.1186/s13663-015-0453-8 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84948417278&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/44024
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 Kanyarat Cheawchan Suthep Suantai Atid Kangtunyakarn A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping
description	© 2015, Cheawchan et al. For the purpose of this paper, we use the method different from the relaxed extragradient method for finding a common element of the set of fixed points of a quasi-nonexpansive mapping, the set of solutions of equilibrium problems, and the set of solutions of a modified system of variational inequalities without demiclosed condition of W and W ω :=(1−ω)I+ωW, where W is a quasi-nonexpansive mapping and (Formula presented.) in the framework of Hilbert space. By using our main result, we obtain a strong convergence theorem involving a finite family of nonspreading mappings and another corollary. Moreover, we give a numerical example to encourage our main theorem.
format	Journal
author	Kanyarat Cheawchan Suthep Suantai Atid Kangtunyakarn
author_facet	Kanyarat Cheawchan Suthep Suantai Atid Kangtunyakarn
author_sort	Kanyarat Cheawchan
title	A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping
title_short	A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping
title_full	A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping
title_fullStr	A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping
title_full_unstemmed	A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping
title_sort	new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84948417278&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/44024
_version_	1681422482491310080

A new technique for convergence theorem of fixed point problem of quasi-nonexpansive mapping

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