An Explicit Iterative Algorithm for a Class of Variational Inequalities in Hilbert Spaces

被引：28
|
作者：
Nguyen Buong [1 ]
Lam Thuy Duong [2 ]
机构：
[1] VAST, Inst Informat Technol, Hanoi, Vietnam
[2] Thai Nguyen Univ, Dept Math, Thai Nguyen, Vietnam
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2011年 / 151卷 / 03期
关键词：
Variational inequalities; Common fixed points; Nonexpansive maps and retraction; Iterative algorithms; STEEPEST-DESCENT METHODS; STRONG-CONVERGENCE THEOREMS; STRICT PSEUDO-CONTRACTIONS; FIXED-POINTS; WEAK;
D O I：
10.1007/s10957-011-9890-7
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 introduce a new explicit iterative algorithm for finding a solution for variational inequalities over the set of common fixed points of a finite family of nonexpansive maps on Hilbert spaces. An application and a numerical result are given for illustration.
引用
收藏
页码：513 / 524
页数：12
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