Weak and strong convergence to common fixed points of a countable family of multi-valued mappings in Banach spaces

In this paper, we introduce a modified Mann iteration for a countable family of multi-valued mappings. We use the best approximation operator to obtain weak and strong convergence theorems in a Banach space. We apply the main results to the problem of finding a common fixed point of a countable fami...

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Main Authors:	Prasit Cholamjiak, Watcharaporn Cholamjiak, Yeol Je Cho, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=83255161981&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50108
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-50108
record_format	dspace
spelling	th-cmuir.6653943832-501082018-09-04T04:24:24Z Weak and strong convergence to common fixed points of a countable family of multi-valued mappings in Banach spaces Prasit Cholamjiak Watcharaporn Cholamjiak Yeol Je Cho Suthep Suantai Mathematics In this paper, we introduce a modified Mann iteration for a countable family of multi-valued mappings. We use the best approximation operator to obtain weak and strong convergence theorems in a Banach space. We apply the main results to the problem of finding a common fixed point of a countable family of nonexpansive multi-valued mappings. © 2011 by the Mathematical Association of Thailand. 2018-09-04T04:24:24Z 2018-09-04T04:24:24Z 2011-12-01 Journal 16860209 2-s2.0-83255161981 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=83255161981&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50108
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Prasit Cholamjiak Watcharaporn Cholamjiak Yeol Je Cho Suthep Suantai Weak and strong convergence to common fixed points of a countable family of multi-valued mappings in Banach spaces
description	In this paper, we introduce a modified Mann iteration for a countable family of multi-valued mappings. We use the best approximation operator to obtain weak and strong convergence theorems in a Banach space. We apply the main results to the problem of finding a common fixed point of a countable family of nonexpansive multi-valued mappings. © 2011 by the Mathematical Association of Thailand.
format	Journal
author	Prasit Cholamjiak Watcharaporn Cholamjiak Yeol Je Cho Suthep Suantai
author_facet	Prasit Cholamjiak Watcharaporn Cholamjiak Yeol Je Cho Suthep Suantai
author_sort	Prasit Cholamjiak
title	Weak and strong convergence to common fixed points of a countable family of multi-valued mappings in Banach spaces
title_short	Weak and strong convergence to common fixed points of a countable family of multi-valued mappings in Banach spaces
title_full	Weak and strong convergence to common fixed points of a countable family of multi-valued mappings in Banach spaces
title_fullStr	Weak and strong convergence to common fixed points of a countable family of multi-valued mappings in Banach spaces
title_full_unstemmed	Weak and strong convergence to common fixed points of a countable family of multi-valued mappings in Banach spaces
title_sort	weak and strong convergence to common fixed points of a countable family of multi-valued mappings in banach spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=83255161981&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50108
_version_	1681423530546167808

Weak and strong convergence to common fixed points of a countable family of multi-valued mappings in Banach spaces

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