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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
2014
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| Online Access: | 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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| Institution: | Chiang Mai University |
| Language: | English |
| Summary: | 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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