Second-order dynamical systems with a smoothing effect for solving paramonotone variational inequalities
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917844782940160 |
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| author | Hai, Pham Viet Hai, Trinh Ngoc |
| author_facet | Hai, Pham Viet Hai, Trinh Ngoc |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_14651 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Second-order dynamical systems with a smoothing effect for solving paramonotone variational inequalities Hai, Pham Viet Hai, Trinh Ngoc Optimization and Control 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. |
| title | Second-order dynamical systems with a smoothing effect for solving paramonotone variational inequalities |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2411.14651 |