Proximal methods for a class of bilevel monotone equilibrium problems

被引：79

作者：

Moudafi, Abdellatif ^{[1
]}

机构：

[1] Univ Antilles Guyane, Dept Sci Interfac, CEREGMIA, F-97230 Martinique, France

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2010年 / 47卷 / 02期

关键词：

Bilevel problem; Variational inequality; Monotonicity; Equilibrium problem; Proximal method; DESCENT METHOD; CONVERGENCE;

D O I：

10.1007/s10898-009-9476-1

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：

We consider a bilevel problem involving two monotone equilibrium bifunctions and we show that this problem can be solved by a simple proximal method. Under mild conditions, the weak convergence of the sequences generated by the algorithm is obtained. Using this result we obtain corollaries which improve several corresponding results in this field.

引用

页码：287 / 292

页数：6

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