Strong convergence for a countable family of strict pseudocontractions in q-uniformly smooth Banach spaces

We introduce a new iterative algorithm for finding a common fixed point of a countable family of strict pseudocontractions in q-uniformly smooth and uniformly convex Banach spaces. We then prove that the sequence generated by the proposed algorithm converges strongly to a common fixed point of an in...

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Main Authors:	Prasit Cholamjiak, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Computer Science Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79960181401&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/49884
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-498842018-09-04T04:24:41Z Strong convergence for a countable family of strict pseudocontractions in q-uniformly smooth Banach spaces Prasit Cholamjiak Suthep Suantai Computer Science Mathematics We introduce a new iterative algorithm for finding a common fixed point of a countable family of strict pseudocontractions in q-uniformly smooth and uniformly convex Banach spaces. We then prove that the sequence generated by the proposed algorithm converges strongly to a common fixed point of an infinite family of strict pseudocontractions. Our results mainly improve and extend the results announced by Yao et al. [Y. Yao, Y.-C. Liou, G. Marino, Strong convergence of two iterative algorithms for nonexpansive mappings in Hilbert spaces, Fixed Point Theory Appl. 2009 (2009) 7 pages. doi:10.1155/2009/279058. Art. ID 279058]. © 2011 Elsevier Ltd. All rights reserved. 2018-09-04T04:19:44Z 2018-09-04T04:19:44Z 2011-07-01 Journal 08981221 2-s2.0-79960181401 10.1016/j.camwa.2011.06.008 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79960181401&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/49884
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Computer Science Mathematics
spellingShingle	Computer Science Mathematics Prasit Cholamjiak Suthep Suantai Strong convergence for a countable family of strict pseudocontractions in q-uniformly smooth Banach spaces
description	We introduce a new iterative algorithm for finding a common fixed point of a countable family of strict pseudocontractions in q-uniformly smooth and uniformly convex Banach spaces. We then prove that the sequence generated by the proposed algorithm converges strongly to a common fixed point of an infinite family of strict pseudocontractions. Our results mainly improve and extend the results announced by Yao et al. [Y. Yao, Y.-C. Liou, G. Marino, Strong convergence of two iterative algorithms for nonexpansive mappings in Hilbert spaces, Fixed Point Theory Appl. 2009 (2009) 7 pages. doi:10.1155/2009/279058. Art. ID 279058]. © 2011 Elsevier Ltd. All rights reserved.
format	Journal
author	Prasit Cholamjiak Suthep Suantai
author_facet	Prasit Cholamjiak Suthep Suantai
author_sort	Prasit Cholamjiak
title	Strong convergence for a countable family of strict pseudocontractions in q-uniformly smooth Banach spaces
title_short	Strong convergence for a countable family of strict pseudocontractions in q-uniformly smooth Banach spaces
title_full	Strong convergence for a countable family of strict pseudocontractions in q-uniformly smooth Banach spaces
title_fullStr	Strong convergence for a countable family of strict pseudocontractions in q-uniformly smooth Banach spaces
title_full_unstemmed	Strong convergence for a countable family of strict pseudocontractions in q-uniformly smooth Banach spaces
title_sort	strong convergence for a countable family of strict pseudocontractions in q-uniformly smooth banach spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79960181401&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/49884
_version_	1681423490372075520

Strong convergence for a countable family of strict pseudocontractions in q-uniformly smooth Banach spaces

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