CONSTRUCTION OF ITERATIVE METHODS FOR VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS

被引：5

作者：

Yao, Yonghong ^{[2
]}

Liou, Yeong-Cheng ^{[3
]}

Shahzad, Naseer ^{[1
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Jeddai 21589 1, Saudi Arabia

[2] Tianjin Polytech Univ, Dept Math, Tianjin, Peoples R China

[3] Cheng Shiu Univ, Dept Informat Management, Kaohsiung, Taiwan

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2012年 / 33卷 / 10期

关键词：

Fixed point; Inverse-strongly monotone mapping; Nonexpansive mapping; Strong convergence; Variational inequality; STRONG-CONVERGENCE THEOREMS; VISCOSITY APPROXIMATION METHODS; NONEXPANSIVE-MAPPINGS; MONOTONE MAPPINGS; EXTRAGRADIENT METHOD; REGULARIZATION; OPTIMIZATION; SPACES;

D O I：

10.1080/01630563.2012.660796

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we first introduce two iterative methods for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for an inverse strongly monotone mapping in a Hilbert space. Then we show that the proposed iterative methods converge strongly to a minimum norm element of two sets.

引用

页码：1250 / 1267

页数：18

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