Ishikawa iterative algorithms for a generalized equilibrium problem and fixed point problems of a pseudo-contraction mapping

被引：21

作者：

Peng, Jian-Wen ^{[1
]}

Yao, Jen-Chih ^{[2
]}

机构：

[1] Chongqing Normal Univ, Coll Math & Comp Sci, Chongqing 400047, Peoples R China

[2] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 804, Taiwan

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2010年 / 46卷 / 03期

关键词：

Generalized equilibrium problem; Hybrid method; Pseudo-contraction mapping; Strong convergence; Weak convergence; Ishikawa iterative algorithm; STRONG-CONVERGENCE THEOREMS; HILBERT-SPACES; VARIATIONAL INEQUALITY; NONEXPANSIVE-MAPPINGS; CQ METHOD; WEAK;

D O I：

10.1007/s10898-009-9428-9

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we propose two Ishikawa iterative algorithms for finding a common element of the set of solutions of a generalized equilibrium problem and the set of fixed points of a Lipschitz continuous pseudo-contraction mapping. We obtain both strong convergence theorems and weak convergence theorems in a Hilbert space.

引用

页码：331 / 345

页数：15

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