Existence and stability of solutions to inverse variational inequality problems

被引：1

作者：

Yu HAN ^{[1
]}

Nanjing HUANG ^{[1
]}

Jue LU ^{[1
]}

Yibin XIAO ^{[2
]}

机构：

[1] Department of Mathematics,Sichuan University

[2] School of Mathematical Sciences,University of Electronic Science and Technology of China

来源：

Applied Mathematics and Mechanics(English Edition) | 2017年 / 38卷 / 05期

基金：

中国国家自然科学基金; 中国博士后科学基金; 中央高校基本科研业务费专项资金资助;

关键词：

inverse variational inequality; Fan-Knaster-Kuratowski-Mazurkiewicz(KKM) theorem; Kakutani-Fan-Glicksberg fixed point theorem; upper semicontinuity; lower semicontinuity;

D O I：

暂无

中图分类号：

O178 [不等式及其他];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, two new existence theorems of solutions to inverse variational and quasi-variational inequality problems are proved using the Fan-Knaster-KuratowskiMazurkiewicz(KKM) theorem and the Kakutani-Fan-Glicksberg fixed point theorem.Upper semicontinuity and lower semicontinuity of the solution mapping and the approximate solution mapping to the parametric inverse variational inequality problem are also discussed under some suitable conditions. An application to a road pricing problem is given.

引用

页码：749 / 764

页数：16

共 50 条

[21] Existence theorems of solution to variational inequality problems
Liping Zhang
Jiye Han
Dachuan Xu
[J]. Science in China Series A: Mathematics, 2001, 44 : 212 - 219
[22] Existence theorems of solution to variational inequality problems
Zhang, L.
Han, J.
Xu, D.
[J]. 2001, Science in China Press (44):
[23] On the existence and stability of solutions of a mixed general type of variational relation problems
Yang, Zhe
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[24] On the existence and stability of solutions of a mixed general type of variational relation problems
Zhe Yang
[J]. Journal of Inequalities and Applications, 2014
[25] SOLUTIONS OF VECTOR VARIATIONAL INEQUALITY PROBLEMS
Salahuddin
[J]. KOREAN JOURNAL OF MATHEMATICS, 2018, 26 (02): : 299 - 306
[26] Existence and Stability of Solutions for Generalized Ky Fan Inequality Problems with Trifunctions
S. H. Hou
X. H. Gong
X. M. Yang
[J]. Journal of Optimization Theory and Applications, 2010, 146 : 387 - 398
[27] Existence and Stability of Solutions for Generalized Ky Fan Inequality Problems with Trifunctions
Hou, S. H.
Gong, X. H.
Yang, X. M.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2010, 146 (02) : 387 - 398
[28] Some results on approximate solutions of variational inequality problems for inverse strongly monotone operators
Iemoto, Shigeru
[J]. FIXED POINT THEORY AND APPLICATIONS, 2015,
[29] Some results on approximate solutions of variational inequality problems for inverse strongly monotone operators
Shigeru Iemoto
[J]. Fixed Point Theory and Applications, 2015
[30] Exceptional Families and Existence Theorems for Variational Inequality Problems
Y. B. Zhao
J. Y. Han
H. D. Qi
[J]. Journal of Optimization Theory and Applications, 1999, 101 : 475 - 495

← 1 2 3 4 5 →