Second-order dynamical systems with a smoothing effect for solving paramonotone variational inequalities
Optimization and Control
2024-11-25 v1
Abstract
In this paper, we propose a second-order dynamical system with a smoothing effect for solving paramonotone variational inequalities. Under standard assumptions, we prove that the trajectories of this dynamical system converges to a solution of the variational inequality problem. A time discretization of this dynamical system provides an iterative inertial projection-type method. Our result generalizes and improves the existing results. Some numerical examples are given to confirm the theoretical results and illustrate the effectiveness of the proposed algorithms.
Cite
@article{arxiv.2411.14651,
title = {Second-order dynamical systems with a smoothing effect for solving paramonotone variational inequalities},
author = {Pham Viet Hai and Trinh Ngoc Hai},
journal= {arXiv preprint arXiv:2411.14651},
year = {2024}
}