Proximal methods for mixed variational inequalities

被引：28

作者：

Noor, MA ^{[1
]}

机构：

[1] Etisalat Coll Engn, Sharjah, U Arab Emirates

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2002年 / 115卷 / 02期

关键词：

variational inequalities; auxiliary principle technique; proximal methods; convergence;

D O I：

10.1023/A:1020848524253

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：

A proximal point method for solving mixed variational inequalities is suggested and analyzed by using the auxiliary principle technique. It is shown that the convergence of the proposed method requires only the pseudomonotonicity of the operator, which is a weaker condition than monotonicity. As special cases, we obtain various known and new results for solving variational inequalities and related problems. Our proof of convergence is very simple as compared with other methods.

引用

页码：447 / 452

页数：6

共 19 条

[1] NONLINEAR PROXIMAL POINT ALGORITHMS USING BREGMAN FUNCTIONS, WITH APPLICATIONS TO CONVEX-PROGRAMMING [J].