Common fixed points of a countable family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces

In this paper, we introduce a one-step iterative scheme for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems of the proposed iterative scheme under some control con...

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Main Authors:	Bunyawat A., Suantai S.
Format:	Article
Published:	Taylor and Francis Ltd. 2015
Subjects:	Computational Theory and Mathematics Computer Science Applications Applied Mathematics
Online Access:	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84870613518&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38650
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-38650
record_format	dspace
spelling	th-cmuir.6653943832-386502015-06-16T07:53:47Z Common fixed points of a countable family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces Bunyawat A. Bunyawat A. Suantai S. Suantai S. Computational Theory and Mathematics Computer Science Applications Applied Mathematics In this paper, we introduce a one-step iterative scheme for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems of the proposed iterative scheme under some control conditions. © 2012 Copyright Taylor and Francis Group, LLC. 2015-06-16T07:53:47Z 2015-06-16T07:53:47Z 2012-11-01 Article 00207160 2-s2.0-84870613518 10.1080/00207160.2012.705280 http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84870613518&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38650 Taylor and Francis Ltd.
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Computational Theory and Mathematics Computer Science Applications Applied Mathematics
spellingShingle	Computational Theory and Mathematics Computer Science Applications Applied Mathematics Bunyawat A. Bunyawat A. Suantai S. Suantai S. Common fixed points of a countable family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces
description	In this paper, we introduce a one-step iterative scheme for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems of the proposed iterative scheme under some control conditions. © 2012 Copyright Taylor and Francis Group, LLC.
format	Article
author	Bunyawat A. Bunyawat A. Suantai S. Suantai S.
author_facet	Bunyawat A. Bunyawat A. Suantai S. Suantai S.
author_sort	Bunyawat A.
title	Common fixed points of a countable family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces
title_short	Common fixed points of a countable family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces
title_full	Common fixed points of a countable family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces
title_fullStr	Common fixed points of a countable family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces
title_full_unstemmed	Common fixed points of a countable family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces
title_sort	common fixed points of a countable family of multivalued quasi-nonexpansive mappings in uniformly convex banach spaces
publisher	Taylor and Francis Ltd.
publishDate	2015
url	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84870613518&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38650
_version_	1681421512064630784

Common fixed points of a countable family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces

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