Weak convergence theorems for a countable family of strict pseudocontractions in banach spaces
We investigate the convergence of Mann-type iterative scheme for a countable family of strict pseudocontractions in a uniformly convex Banach space with the Fréchet differentiable norm. Our results improve and extend the results obtained by Marino-Xu, Zhou, Osilike-Udomene, Zhang-Guo and the corresp...
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th-cmuir.6653943832-509802018-09-04T04:49:14Z Weak convergence theorems for a countable family of strict pseudocontractions in banach spaces Suthep Suantai Prasit Cholamjiak Mathematics We investigate the convergence of Mann-type iterative scheme for a countable family of strict pseudocontractions in a uniformly convex Banach space with the Fréchet differentiable norm. Our results improve and extend the results obtained by Marino-Xu, Zhou, Osilike-Udomene, Zhang-Guo and the corresponding results. We also point out that the condition given by Chidume-Shahzad (2010) is not satisfied in a real Hilbert space. We show that their results still are true under a new condition. Copyright © 2010 Prasit Cholamjiak and Suthep Suantai. 2018-09-04T04:49:14Z 2018-09-04T04:49:14Z 2010-11-22 Journal 16871812 16871820 2-s2.0-78349242533 10.1155/2010/632137 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78349242533&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50980 |
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Mathematics Suthep Suantai Prasit Cholamjiak Weak convergence theorems for a countable family of strict pseudocontractions in banach spaces |
| description |
We investigate the convergence of Mann-type iterative scheme for a countable family of strict pseudocontractions in a uniformly convex Banach space with the Fréchet differentiable norm. Our results improve and extend the results obtained by Marino-Xu, Zhou, Osilike-Udomene, Zhang-Guo and the corresponding results. We also point out that the condition given by Chidume-Shahzad (2010) is not satisfied in a real Hilbert space. We show that their results still are true under a new condition. Copyright © 2010 Prasit Cholamjiak and Suthep Suantai. |
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Journal |
| author |
Suthep Suantai Prasit Cholamjiak |
| author_facet |
Suthep Suantai Prasit Cholamjiak |
| author_sort |
Suthep Suantai |
| title |
Weak convergence theorems for a countable family of strict pseudocontractions in banach spaces |
| title_short |
Weak convergence theorems for a countable family of strict pseudocontractions in banach spaces |
| title_full |
Weak convergence theorems for a countable family of strict pseudocontractions in banach spaces |
| title_fullStr |
Weak convergence theorems for a countable family of strict pseudocontractions in banach spaces |
| title_full_unstemmed |
Weak convergence theorems for a countable family of strict pseudocontractions in banach spaces |
| title_sort |
weak convergence theorems for a countable family of strict pseudocontractions in banach spaces |
| publishDate |
2018 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78349242533&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50980 |
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