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.6653943832-61762014-08-30T03:23:55Z Weak convergence theorems for a countable family of strict pseudocontractions in banach spaces Suantai S. Cholamjiak P. 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. 2014-08-30T03:23:55Z 2014-08-30T03:23:55Z 2010 Article 16871820 10.1155/2010/632137 http://www.scopus.com/inward/record.url?eid=2-s2.0-78349242533&partnerID=40&md5=c08984c901c0774692fe5b848ee9a378 http://cmuir.cmu.ac.th/handle/6653943832/6176 English |
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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. |
| format |
Article |
| author |
Suantai S. Cholamjiak P. |
| spellingShingle |
Suantai S. Cholamjiak P. Weak convergence theorems for a countable family of strict pseudocontractions in banach spaces |
| author_facet |
Suantai S. Cholamjiak P. |
| author_sort |
Suantai S. |
| 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 |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-78349242533&partnerID=40&md5=c08984c901c0774692fe5b848ee9a378 http://cmuir.cmu.ac.th/handle/6653943832/6176 |
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