Strong convergence theorem for quasi-ϕ-asymptotically nonexpansive mappings in the intermediate sense in Banach spaces

被引：0

作者：

Zhaoli Ma

Lin Wang

Shih-sen Chang

机构：

[1] Yunnan Normal University,School of Information Engineering, The College of Arts and Sciences

[2] Yunnan University of Finance and Economics,College of Statistics and Mathematics

来源：

Journal of Inequalities and Applications | / 2013卷

关键词：

quasi-; -asymptotically nonexpansive mappings in the intermediate sense; strong convergence; fixed point; generalized projection;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we modify Halpern and Mann’s iterations for finding a fixed point of an infinite family of quasi-ϕ-asymptotically nonexpansive mappings in the intermediate sense in Banach spaces. We prove a strong convergence theorem of the iterative sequence generated by the proposed iterative algorithm in a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property. The results presented in this paper improve and extend some recent corresponding results.

引用

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