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

被引：0

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;

D O I：

暂无

中图分类号：

学科分类号：

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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