Weak Convergence Theorems for a Countable Family of Strict Pseudocontractions in Banach Spaces

被引：0
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作者：
Prasit Cholamjiak
Suthep Suantai
机构：
[1] Chiang Mai University,Department of Mathematics, Faculty of Science
[2] CHE,Centre of Excellence in Mathematics
来源：
Fixed Point Theory and Applications | / 2010卷
关键词：
Banach Space; Convex Subset; Real Hilbert Space; Real Banach Space; Convex Banach Space;
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摘要：
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.
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