A Gradient-Like Regularized Dynamics for Monotone Equilibrium Problems

In this paper, a gradient-like regularized dynamical system associated with a monotone equilibrium problem is studied. First, we give a rigorous proof of the existence and uniqueness of the strong global solution to the dynamical system. Then, we obtain strong convergence of the generated trajectori...

Full description

Saved in:
Bibliographic Details
Published in:Qualitative theory of dynamical systems 2022-12, Vol.21 (4), Article 160
Main Authors: Anh, Pham Ky, Hai, Trinh Ngoc, Dung, Vu Tien
Format: Article
Language:English
Subjects:
Convergence
Difference and Functional Equations
Dynamical systems
Dynamical Systems and Ergodic Theory
Iterative methods
Mathematics
Mathematics and Statistics
Regularization
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, a gradient-like regularized dynamical system associated with a monotone equilibrium problem is studied. First, we give a rigorous proof of the existence and uniqueness of the strong global solution to the dynamical system. Then, we obtain strong convergence of the generated trajectories to a solution of the original equilibrium. A time discretization of the dynamical system provides a strongly convergent iterative regularization gradient-type method with relaxation parameters. Finally, the performance of the regularized dynamical system approach is illustrated by numerical experiments.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-022-00698-4