Dynamical system for solving bilevel variational inequalities

被引：0
作者：
Pham Ky Anh
Trinh Ngoc Hai
机构：
[1] Vietnam National University,Department of Mathematics
[2] Hanoi University of Science and Technology,School of Applied Mathematics and Informatics
来源：
Journal of Global Optimization | 2021年 / 80卷
关键词：
Dynamical system; Bilevel variational inequality; Strong monotonicity; Paramonotonicity; 47J20; 49J40; 49M30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we propose a new algorithm for solving bilevel variational inequalities. We consider a dynamical system and prove that the trajectory of this dynamical system converges to a desired solution.
引用
收藏
页码：945 / 963
页数：18
相关论文
共 50 条
[31]   A projection-fixed point method for a class of bilevel variational inequalities with split fixed point constraints [J].
Tran Viet Anh ;
Le Dung Muu .
OPTIMIZATION, 2016, 65 (06) :1229-1243
[32]   The Dynamical System for System of Variational Inequality Problem in Hilbert Spaces [J].
Petrot, Narin ;
Tangkhawiwetkul, Jittiporn .
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2018, 9 (04) :541-558
[33]   Dynamical systems for solving variational inclusion and fixed point problems on Hadamard manifolds [J].
Vo Minh Tam .
OPERATIONS RESEARCH LETTERS, 2022, 50 (01) :91-98
[34]   Two projection-based methods for bilevel pseudomonotone variational inequalities involving non-Lipschitz operators [J].
Bing Tan ;
Sun Young Cho .
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022, 116
[35]   Two projection-based methods for bilevel pseudomonotone variational inequalities involving non-Lipschitz operators [J].
Tan, Bing ;
Cho, Sun Young .
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2022, 116 (02)
[36]   A DYNAMICAL SYSTEM METHOD FOR SOLVING THE SPLIT CONVEX FEASIBILITY PROBLEM [J].
Tan, Zeng-Zhen ;
Hu, Rong ;
Zhu, Ming ;
Fang, Ya-Ping .
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2021, 17 (06) :2989-3011
[37]   Inertial Projection-Type Methods for Solving Quasi-Variational Inequalities in Real Hilbert Spaces [J].
Shehu, Yekini ;
Gibali, Aviv ;
Sagratella, Simone .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2020, 184 (03) :877-894
[38]   Inertial Projection-Type Methods for Solving Quasi-Variational Inequalities in Real Hilbert Spaces [J].
Yekini Shehu ;
Aviv Gibali ;
Simone Sagratella .
Journal of Optimization Theory and Applications, 2020, 184 :877-894
[39]   An inverse-free dynamical system for solving the absolute value equations [J].
Chen, Cairong ;
Yang, Yinong ;
Yu, Dongmei ;
Han, Deren .
APPLIED NUMERICAL MATHEMATICS, 2021, 168 :170-181
[40]   A DYNAMICAL SYSTEM ALGORITHM FOR SOLVING A LEAST SQUARES PROBLEM WITH ORTHOGONALITY CONSTRAINTS [J].
黄建国 ;
叶中行 ;
徐雷 .
JournalofShanghaiJiaotongUniversity, 2001, (01) :81-85+88
12345