Differential Vector Variational Inequalities in Finite-Dimensional Spaces

被引：25
|
作者：
Wang, Xing [1 ]
Huang, Nan-Jing [1 ]
机构：
[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2013年 / 158卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Differential vector variational inequality; Caratheodory weak solution; Upper semicontinuity; Lower semicontinuity; PROJECTED DYNAMICAL-SYSTEMS; REFLEXIVE BANACH-SPACES; RIGID-BODY DYNAMICS; COMPLEMENTARITY SYSTEMS; EQUILIBRIUM PROBLEMS; SOLUTION SET; SEMICONTINUITY; STABILITY; EXISTENCE; MAPPINGS;
D O I：
10.1007/s10957-012-0164-9
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, a differential vector variational inequality is introduced and studied in finite-dimensional Euclidean spaces. The existence of a Carath,odory weak solution for the differential vector variational inequality is presented under some suitable conditions. Furthermore, the upper semicontinuity and the lower semicontinuity of the solution sets for the differential variational inequality are established when both the mapping and the constraint set are perturbed by two different parameters.
引用
收藏
页码：109 / 129
页数：21
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