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.
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页码：331 / 345
页数：15
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