Strong convergence theorem for a generalized equilibrium problem and a k-strict pseudocontraction in Hilbert spaces

被引：2

作者：

Zhang, Shi-sheng ^{[1
]}

Rao, Ruo-feng ^{[1
]}

Huang, Jia-lin ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2009年 / 30卷 / 06期

关键词：

k-strict pseudocontractive mapping; equilibrium problem; alpha-inverse-strongly monotone mapping; variational inequality; MAPPINGS; WEAK;

D O I：

10.1007/s10483-009-0602-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to study a new iterative algorithm for finding a common element of the set of solutions for a generalized equilibrium problem and the set of fixed points for a k-strict pseudocontractive mapping in the Hilbert space. The presented results extend and improve the corresponding results reported in the literature.

引用

页码：685 / 694

页数：10

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