On vector variational inequalities: Application to vector equilibria

被引：90

作者：

Yang, XQ

Goh, CJ

机构：

[1] Department of Mathematics, University of Western Australia, Nedlands, WA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1997年 / 95卷 / 02期

基金：

澳大利亚研究理事会;

关键词：

vector variational inequalities; vector optimization; flow equilibria;

D O I：

10.1023/A:1022647607947

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 motivate the study of a vector variational inequality by a practical flow equilibrium problem on a network, namely a generalization of the well-known Wardrop equilibrium principle. Both weak and strong forms of the vector variational inequality are discussed and their relationships to a vector optimization problem are established under various convexity assumptions.

引用

页码：431 / 443

页数：13

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