Some predictor-corrector algorithms for multivalued variational inequalities

被引：40
|
作者：
Noor, MA [1 ]
机构：
[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS, Canada
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2001年 / 108卷 / 03期
关键词：
variational inequalities; auxiliary principle; iterative methods; convergence;
D O I：
10.1023/A:1017543626630
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 use the auxiliary principle technique to suggest a new class of predictor-corrector algorithms for solving multivalued variational inequalities. The convergence of the proposed methods requires only the partially-relaxed strong monotonicity of the operator, which is weaker than cocoercivity. As special cases, we obtain a number of known and new results for solving various classes of variational inequalities.
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页码：659 / 669
页数：11
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