On system of generalized vector variational inequalities

被引：6
|
作者：
Hou, S. H. [1 ]
Yu, H. [2 ]
Chen, G. Y. [3 ]
机构：
[1] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China
[2] Chongqing Univ, Coll Econ & Business Adm, Chongqing 630044, Peoples R China
[3] Chinese Acad Sci, Inst Syst Sci, Beijing, Peoples R China
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2008年 / 40卷 / 04期
基金：
中国国家自然科学基金;
关键词：
generalized vector variational inequalities; partial diagonally quasi-convexity; variational-like inequalities; variable preference;
D O I：
10.1007/s10898-006-9112-2
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：
In this paper, we introduce a new system of generalized vector variational inequalities with variable preference. This extends the model of system of generalized variational inequalities due to Pang and Konnov independently as well as system of vector equilibrium problems due to Ansari, Schaible and Yao. We establish existence of solutions to the new system under weaker conditions that include a new partial diagonally convexity and a weaker notion than continuity. As applications, we derive existence results for both systems of vector variational-like inequalities and vector optimization problems with variable preference.
引用
收藏
页码：739 / 749
页数：11
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