Existence of a solution for generalized vector variational inequalities

被引：0
|
作者：
Chen, GY
Goh, CJ
Yang, XQ [1 ]
机构：
[1] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
[2] Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
[3] Univ Auckland, Dept Math, Auckland 1, New Zealand
来源：
OPTIMIZATION | 2001年 / 50卷 / 1-2期
关键词：
vector variational inequality; quasi-vector variational inequality; cone-quasi-convexity; nonlinear scalarization;
D O I：
暂无
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：
It is known that vector variational inequality models arise from vector optimization and vector traffic equilibria. In this paper, existence results of a solution for a generalized vector pre-variational inequality and a generalized vector pre-quasi-variational inequality are established. The main condition used is that the underlying vector-valued function is assumed to be cone-quasi-convex. The main techniques employed are a nonlinear scalarization and fixed point theorems.
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页码：1 / 15
页数：15
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