Regularity results for evolutionary nonlinear variational and quasi-variational inequalities with applications to dynamic equilibrium problems

被引：37

作者：

Barbagallo, Annamaria ^{[1
]}

机构：

[1] Univ Catania, Dept Math & Comp Sci, I-95125 Catania, Italy

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2008年 / 40卷 / 1-3期

关键词：

traffic equilibrium problems; time-dependent variational and quasi-variational inequalities; continuity of solutions; Mosco's convergence;

D O I：

10.1007/s10898-007-9194-5

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：

The aim of this paper is to obtain the continuity of solutions to time-dependent nonlinear variational and quasi-variational inequalities which express many dynamic equilibrium problems. To prove our results, we make use of Minty's Lemma and of the notion of the Mosco's convergence.

引用

下载

页码：29 / 39

页数：11

共 50 条

[31] APPLICATION OF QUASI-VARIATIONAL INEQUALITIES TO SOME NONLINEAR PROBLEMS IN PLASMA PHYSICS
MOSSINO, J
ISRAEL JOURNAL OF MATHEMATICS, 1978, 30 (1-2) : 14 - 50
[32] Generalized quasi-variational inequalities and some applications
Yuan, XZ
Tarafdar, E
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 29 (01) : 27 - 40
[33] A Class of Multivalued Quasi-Variational Inequalities with Applications
Stanislaw Migórski
Yunru Bai
Sylwia Dudek
Applied Mathematics & Optimization, 2023, 87
[34] A solution differentiability result for evolutionary quasi-variational inequalities
Scrimali, Laura
JOURNAL OF GLOBAL OPTIMIZATION, 2008, 40 (1-3) : 417 - 425
[35] A solution differentiability result for evolutionary quasi-variational inequalities
Laura Scrimali
Journal of Global Optimization, 2008, 40 : 417 - 425
[36] A Differential Equation Approach to Evolutionary Quasi-Variational Inequalities Arising in Contact Problems
Emilio Vilches
Set-Valued and Variational Analysis, 2022, 30 : 751 - 768
[37] Existence results for a class of quasi-variational inequalities and applications to a noncooperative model
Barbagallo, A.
OPTIMIZATION, 2024,
[38] A Differential Equation Approach to Evolutionary Quasi-Variational Inequalities Arising in Contact Problems
Vilches, Emilio
SET-VALUED AND VARIATIONAL ANALYSIS, 2022, 30 (02) : 751 - 768
[39] On the Existence of Projected Solutions of Quasi-Variational Inequalities and Generalized Nash Equilibrium Problems
Didier Aussel
Asrifa Sultana
Vellaichamy Vetrivel
Journal of Optimization Theory and Applications, 2016, 170 : 818 - 837
[40] On the Existence of Projected Solutions of Quasi-Variational Inequalities and Generalized Nash Equilibrium Problems
Aussel, Didier
Sultana, Asrifa
Vetrivel, Vellaichamy
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2016, 170 (03) : 818 - 837

← 1 2 3 4 5 →