Strong convergence of shrinking projection methods for quasi-φ-nonexpansive mappings and equilibrium problems

被引：94

作者：

Qin, Xiaolong ^{[3
]}

Cho, Sun Young ^{[1
]}

Kang, Shin Min ^{[1
,2
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea

[2] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea

[3] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 234卷 / 03期

关键词：

Quasi-phi-nonexpansive mapping; Relatively nonexpansive mapping; Generalized projection; Equilibrium problem; FIXED-POINT PROBLEMS; BANACH-SPACES; WEAK-CONVERGENCE; INFINITE FAMILY; THEOREMS; ALGORITHM; APPROXIMATION; INEQUALITIES; OPTIMIZATION;

D O I：

10.1016/j.cam.2010.01.015

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 consider the convergence of a shrinking projection method for a finite family of quasi-phi-nonexpansive mappings and an equilibrium problem. Strong convergence theorems are established in a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee pro petty. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：750 / 760

页数：11

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