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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th-cmuir.6653943832-479112018-04-25T08:45:30Z Weak and strong convergence theorems for a countable family of strict pseudocontractions in Banach spaces Prasit Cholamjiak Suthep Suantai 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. 2018-04-25T08:45:30Z 2018-04-25T08:45:30Z 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/6653943832/47911 |
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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 |
| spellingShingle |
Prasit Cholamjiak Suthep Suantai Weak and strong convergence theorems for a countable family of strict pseudocontractions in Banach spaces |
| 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/6653943832/47911 |
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