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
收藏
页码：1250 / 1267
页数：18
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