Modified Block Iterative Algorithm for Solving Convex Feasibility Problems in Banach Spaces

被引：37

作者：

Chang, Shih-sen ^{[2
]}

Kim, Jong Kyu ^{[1
]}

Wang, Xiong Rui ^{[2
]}

机构：

[1] Kyungnam Univ Masan, Dept Math Educ, Kyungnam 631701, South Korea

[2] Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2010年

关键词：

RELATIVELY NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE THEOREMS; FIXED-POINT PROBLEMS; EQUILIBRIUM PROBLEMS;

D O I：

10.1155/2010/869684

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to use the modified block iterative method to propose an algorithm for solving the convex feasibility problems for an infinite family of quasi-phi-asymptotically nonexpansive mappings. Under suitable conditions some strong convergence theorems are established in uniformly smooth and strictly convex Banach spaces with Kadec-Klee property. The results presented in the paper improve and extend some recent results.

引用

页数：14

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