Differential Vector Variational Inequalities in Finite-Dimensional Spaces

被引：26

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

页码：109 / 129

页数：21

共 40 条

[1] Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems
Anh, LQ
Khanh, PQ
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 294 (02) : 699 - 711
[2] A constraint-stabilized time-stepping approach for rigid multibody dynamics with joints, contact and friction
Anitescu, M
Hart, GD
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2004, 60 (14) : 2335 - 2371
[3] Time-stepping for three-dimensional rigid body dynamics
Anitescu, M
Potra, FA
Stewart, DE
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 177 (3-4) : 183 - 197
[4] [Anonymous], REAL COMPLEX ANAL
[5] [Anonymous], DYNAMIC COMPLE UNPUB
[6] Aubin J.P., 1984, DIFFERENTIAL INCLUSI
[7] Brogliato B, 1999, Nonsmooth Mechanics: Models, Dynamics and Control, V2nd
[8] On linear passive complementarity systems
Çamlibel, MK
Heemels, WPMH
Schumacher, JM
[J]. EUROPEAN JOURNAL OF CONTROL, 2002, 8 (03) : 220 - 237
[9] Consistency of a time-stepping method for a class of piecewise-linear networks
Çamlibel, MK
Heemels, WPMH
Schumacher, JM
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2002, 49 (03) : 349 - 357
[10] Existence of solutions for generalized vector variational-like inequalities
Ceng, L. C.
Schaible, S.
Yao, J. C.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2008, 137 (01) : 121 - 133

← 1 2 3 4 →