Existence and stability of solutions to inverse variational inequality problems

被引：0
|
作者：
Yu Han
Nanjing Huang
Jue Lu
Yibin Xiao
机构：
[1] Sichuan University,Department of Mathematics
[2] University of Electronic Science and Technology of China,School of Mathematical Sciences
来源：
Applied Mathematics and Mechanics | 2017年 / 38卷
关键词：
inverse variational inequality; Fan-Knaster-Kuratowski-Mazurkiewicz (KKM) theorem; Kakutani-Fan-Glicksberg fixed point theorem; upper semicontinuity; lower semicontinuity; O224; O177; 49J40; 47J20;
D O I：
暂无
中图分类号：
学科分类号：
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-Kuratowski-Mazurkiewicz (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
下载
收藏
页码：749 / 764
页数：15
相关论文
共 50 条
  • [31] Exceptional families and existence theorems for variational inequality problems
    Zhao, YB
    Han, JY
    Qi, HD
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1999, 101 (02) : 475 - 495
  • [32] EXISTENCE AND NONUNIQUENESS OF SOLUTIONS OF A NONCOERCIVE ELLIPTIC VARIATIONAL INEQUALITY
    SZULKIN, A
    PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1986, 45 : 413 - 418
  • [33] Existence and uniqueness of solutions of the generalized polynomial variational inequality
    Wang, Jing
    Huang, Zheng-Hai
    Xu, Yang
    OPTIMIZATION LETTERS, 2020, 14 (06) : 1571 - 1582
  • [34] Existence and uniqueness of solutions of the generalized polynomial variational inequality
    Jing Wang
    Zheng-Hai Huang
    Yang Xu
    Optimization Letters, 2020, 14 : 1571 - 1582
  • [35] EXISTENCE OF SOLUTIONS FOR A VARIATIONAL INEQUALITY ON THE HALF-LINE
    Frites, O.
    Moussaoui, T.
    O'Regan, D.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (01): : 223 - 237
  • [36] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A GENERAL NONLINEAR VARIATIONAL INEQUALITY
    DING, XP
    TARAFDAR, E
    APPLIED MATHEMATICS LETTERS, 1995, 8 (01) : 31 - 36
  • [37] Existence of solutions for a class of fractional Kirchhoff variational inequality
    Deng, Shenbing
    Luo, Wenshan
    Ledesma, Cesar E. Torres
    Quiroz, George W. Alama
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2024, 43 (1-2): : 149 - 168
  • [38] The Existence and Stability of Solutions for Symmetric Generalized Quasi-variational Inclusion Problems
    Lam Quoc Anh
    Nguyen Van Hung
    FILOMAT, 2015, 29 (09) : 2147 - 2165
  • [39] COMMON SOLUTIONS OF A SYSTEM OF VARIATIONAL INEQUALITY PROBLEMS
    Eslamian, M.
    Saejung, S.
    Vahidi, J.
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2015, 77 (01): : 55 - 62
  • [40] EXISTENCE AND CONVERGENCE OF SOLUTIONS OF DISCRETE VARIATIONAL PROBLEMS
    MITTELMANN, HD
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1975, 55 (04): : 255 - 257
12345