An extragradient algorithm for solving bilevel pseudomonotone variational inequalities

被引：62

作者：

Anh, P. N. ^{[2
]}

Kim, J. K. ^{[2
]}

Muu, L. D. ^{[1
]}

机构：

[1] Inst Math, Hanoi 10000, Vietnam

[2] Kyungnam Univ, Dept Math, Masan 631701, Kyungnam, South Korea

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2012年 / 52卷 / 03期

关键词：

Bilevel variational inequality; Pseudomonotonicity; Lipschitz continuity; Global convergence; Extragradient algorithm; EQUILIBRIUM PROBLEMS; DESCENT METHODS;

D O I：

10.1007/s10898-012-9870-y

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 present an extragradient-type algorithm for solving bilevel pseudomonone variational inequalities. The proposed algorithm uses simple projection sequences. Under mild conditions, the convergence of the iteration sequences generated by the algorithm is obtained.

引用

页码：627 / 639

页数：13

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