A System of Differential Set-Valued Variational Inequalities in Finite Dimensional Spaces

被引：4

作者：

Li, Wei ^{[1
]}

Wang, Xing ^{[2
]}

Huang, Nan-Jing ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

[2] Jiangxi Univ Finance & Econ, Sch Informat Technol, Nanchang 330013, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2014年 / 2014卷

基金：

中国国家自然科学基金;

关键词：

UNIQUENESS;

D O I：

10.1155/2014/918796

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A system of differential set-valued variational inequalities is introduced and studied in finite dimensional Euclidean spaces. An existence theorem of weak solutions for the system of differential set-valued variational inequalities in the sense of Caratheodory is proved under some suitable conditions. Furthermore, a convergence result on Euler time-dependent procedure for solving the system of differential set-valued variational inequalities is also given.

引用

页数：8

共 50 条

[31] Convergence of Some Iterative Algorithms for System of Generalized Set-Valued Variational Inequalities
Akram, M.
Khan, Aysha
Dilshad, M.
JOURNAL OF FUNCTION SPACES, 2021, 2021
[32] Generalized set-valued variational inclusions in Banach spaces
Chang, SS
Cho, YJ
Lee, BS
Jung, IH
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 246 (02) : 409 - 422
[33] A Class of Differential Vector Variational Inequalities in Finite Dimensional Spaces
Xing Wang
Nan-jing Huang
Journal of Optimization Theory and Applications, 2014, 162 : 633 - 648
[34] Differential quasi-variational inequalities in finite dimensional spaces
Wang, Xing
Tang, Guo-ji
Li, Xue-song
Huang, Nan-jing
OPTIMIZATION, 2015, 64 (04) : 895 - 907
[35] Differential Vector Variational Inequalities in Finite-Dimensional Spaces
Wang, Xing
Huang, Nan-Jing
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2013, 158 (01) : 109 - 129
[36] Differential Vector Variational Inequalities in Finite-Dimensional Spaces
Xing Wang
Nan-Jing Huang
Journal of Optimization Theory and Applications, 2013, 158 : 109 - 129
[37] A CLASS OF DIFFERENTIAL INVERSE VARIATIONAL INEQUALITIES IN FINITE DIMENSIONAL SPACES
Feng, Jun
Li, Wei
Chen, Hui
Chen, Yuanchun
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (06): : 1664 - 1678
[38] A Class of Differential Vector Variational Inequalities in Finite Dimensional Spaces
Wang, Xing
Huang, Nan-jing
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2014, 162 (02) : 633 - 648
[39] A class of impulsive differential variational inequalities in finite dimensional spaces
Li, Xue-song
Huang, Nan-jing
O'Regan, Donal
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (13): : 3151 - 3175
[40] Generalized nonlinear quasi-variational-like inequalities for set-valued mappings in Banach spaces
Fang, YP
Cho, YJ
Huang, NJ
Kang, SM
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2003, 6 (02): : 331 - 337

← 1 2 3 4 5 →