A scalarization approach for vector variational inequalities with applications

被引：19

作者：

Konnov, IV ^{[1
]}

机构：

[1] Kazan VI Lenin State Univ, Dept Appl Math, Kazan 420008, Russia

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2005年 / 32卷 / 04期

关键词：

gap functions; scalarization approach; vector equilibrium problems; vector variational inequalities;

D O I：

10.1007/s10898-003-2688-x

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 an approach to convert vector variational inequalities into an equivalent scalar variational inequality problem with a set-valued cost mapping. Being based on this property, we give an equivalence result between weak and strong solutions of set-valued vector variational inequalities and suggest a new gap function for vector variational inequalities. Additional examples of applications in vector optimization, vector network equilibrium and vector migration equilibrium problems are also given.

引用

页码：517 / 527

页数：11

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