Implicit Iterative Methods for Nonconvex Variational Inequalities

被引：19
|
作者：
Noor, M. A. [1 ]
机构：
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2009年 / 143卷 / 03期
关键词：
Variational inequalities; Nonconvex sets; Monotone operators; Iterative method; Convergence;
D O I：
10.1007/s10957-009-9567-7
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 suggest and analyze an implicit iterative method for solving nonconvex variational inequalities using the technique of the projection operator. We also discuss the convergence of the iterative method under suitable weaker conditions. Our method of proof is very simple as compared with other techniques.
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页码：619 / 624
页数：6
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