Differential and sensitivity properties of gap functions for vector variational inequalities

被引：46
|
作者：
Li, SJ
Yan, H
Chen, GY
机构：
[1] Congqing Univ, Coll Sci, Dept Informat & Comp Sci, Chongqing 400044, Peoples R China
[2] Hong Kong Polytech Univ, Dept Management, Kowloon, Hong Kong, Peoples R China
[3] Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
来源：
MATHEMATICAL METHODS OF OPERATIONS RESEARCH | 2003年 / 57卷 / 03期
关键词：
contingent derivative; gap function; vector variational inequalities;
D O I：
10.1007/s001860200254
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：
The purpose of this paper is to investigate differential properties of a class of set-valued maps and gap functions involving vector variational inequalities. Relationship between their contingent derivatives are discussed. A formula computing contingent derivative of the gap functions is established. Optimality conditions of solutions for vector variational inequalities are obtained.
引用
收藏
页码：377 / 391
页数：15
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