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

被引：36
|
作者：
Zhou, Haiyun [1 ]
Wang, Peiyuan [1 ]
机构：
[1] Shijiazhuang Mech Engn Coll, Dept Math, Shijiazhuang, Peoples R China
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2014年 / 161卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Variational inequalities; Hybrid steepest-descent method; Averaged mappings; Common fixed points; FIXED-POINTS; CONVERGENCE; OPERATORS;
D O I：
10.1007/s10957-013-0470-x
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 the present paper, we propose a simpler explicit iterative algorithm for finding a solution for variational inequalities over the set of common fixed points of a finite family of nonexpansive mappings on Hilbert spaces. A strong convergence theorem is proved under fewer restrictions imposed on the mappings and parameters. An extension and numerical result are also given to illustrate the effectiveness and superiority of the proposed algorithm.
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页码：716 / 727
页数：12
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