Weak and strong convergence theorems for a countable family of strict pseudocontractions in Banach spaces

We first investigate the weak convergence of the Mann-type iterative scheme for a countable family of strict pseudocontractions in a uniformly smooth Banach space which is uniformly convex or satisfies Opial's condition. Then the strong convergence theorems of the modified Mann-type iterative s...

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Main Authors:	Prasit Cholamjiak, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Decision Sciences Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84878228851&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52470
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-524702018-09-04T09:31:37Z Weak and strong convergence theorems for a countable family of strict pseudocontractions in Banach spaces Prasit Cholamjiak Suthep Suantai Decision Sciences Mathematics We first investigate the weak convergence of the Mann-type iterative scheme for a countable family of strict pseudocontractions in a uniformly smooth Banach space which is uniformly convex or satisfies Opial's condition. Then the strong convergence theorems of the modified Mann-type iterative scheme are also proved in a uniformly smooth Banach space. As a consequence, several weak and strong convergence theorems for an infinite family of pseudocontractions are established. © 2013 Taylor & Francis. 2018-09-04T09:25:42Z 2018-09-04T09:25:42Z 2013-05-31 Journal 10294945 02331934 2-s2.0-84878228851 10.1080/02331934.2011.598523 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84878228851&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52470
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Decision Sciences Mathematics
spellingShingle	Decision Sciences Mathematics Prasit Cholamjiak Suthep Suantai Weak and strong convergence theorems for a countable family of strict pseudocontractions in Banach spaces
description	We first investigate the weak convergence of the Mann-type iterative scheme for a countable family of strict pseudocontractions in a uniformly smooth Banach space which is uniformly convex or satisfies Opial's condition. Then the strong convergence theorems of the modified Mann-type iterative scheme are also proved in a uniformly smooth Banach space. As a consequence, several weak and strong convergence theorems for an infinite family of pseudocontractions are established. © 2013 Taylor & Francis.
format	Journal
author	Prasit Cholamjiak Suthep Suantai
author_facet	Prasit Cholamjiak Suthep Suantai
author_sort	Prasit Cholamjiak
title	Weak and strong convergence theorems for a countable family of strict pseudocontractions in Banach spaces
title_short	Weak and strong convergence theorems for a countable family of strict pseudocontractions in Banach spaces
title_full	Weak and strong convergence theorems for a countable family of strict pseudocontractions in Banach spaces
title_fullStr	Weak and strong convergence theorems for a countable family of strict pseudocontractions in Banach spaces
title_full_unstemmed	Weak and strong convergence theorems for a countable family of strict pseudocontractions in Banach spaces
title_sort	weak and strong convergence theorems for a countable family of strict pseudocontractions in banach spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84878228851&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52470
_version_	1681423956859420672

Weak and strong convergence theorems for a countable family of strict pseudocontractions in Banach spaces

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