Splitting algorithms for general pseudomonotone mixed variational inequalities

被引：19
|
作者：
Noor, MA [1 ]
机构：
[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS, Canada
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2000年 / 18卷 / 01期
关键词：
variational inequalities; resolvent equations; iterative methods; convergence; fixed points;
D O I：
10.1023/A:1008322118873
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 a number of resolvent-splitting algorithms for solving general mixed variational inequalities by using the updating technique of the solution. The convergence of these new methods requires either monotonicity or pseudomonotonicity of the operator. Proof of convergence is very simple. Our new methods differ from the existing splitting methods for solving variational inequalities and complementarity problems. The new results are versatile and are easy to implement.
引用
收藏
页码：75 / 89
页数：15
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