A HYBRID EXTRAGRADIENT METHOD FOR ASYMPTOTICALLY STRICT PSEUDO-CONTRACTIONS IN THE INTERMEDIATE SENSE

被引：0

作者：

Ceng, Lu-Chuan ^{[2
]}

Huang, Shuechin ^{[1
]}

机构：

[1] Natl Dong Hwa Univ, Dept Appl Math, Hualien 97401, Taiwan

[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

来源：

FIXED POINT THEORY | 2010年 / 11卷 / 02期

基金：

美国国家科学基金会;

关键词：

Hybrid extragradient method; modified Mann iteration; variational inequality; strict pseudo-contraction; asymptotically strict pseudo-contraction in the intermediate sense; inverse-strongly monotone mapping; demiclosedness principle; STRONG-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; VARIATIONAL-INEQUALITIES; MONOTONE-OPERATORS; FIXED-POINTS; WEAK;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we construct a new hybrid extragradient method for finding a common element of the fixed point set of an asymptotically strict pseudo-contraction in the intermediate sense and the solution set of the variational inequality for an inverse-strongly monotone mapping in a Hilbert space. A strong convergence theorem of the proposed method is established and some of its special cases are also discussed.

引用

页码：189 / 201

页数：13

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