A Third Order Dynamical System for Mixed Variational Inequalities
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866929402240040960 |
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| author | Hazaimah, Oday |
| author_facet | Hazaimah, Oday |
| contents | In this paper, we introduce and study a class of resolvent dynamical systems to investigate some inertial proximal methods for solving mixed variational inequalities. These proposed methods along with their discretizations and derived rates of convergences require only the monotonicity for mixed variational inequalities under some mild conditions. We establish the global asymptotically and exponentially stability of the solution of the resolvent dynamical system for monotone operators. Ideas and techniques of this paper may be extended for other classes of variational inequalities and equilibrium problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19345 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Third Order Dynamical System for Mixed Variational Inequalities Hazaimah, Oday Dynamical Systems 34B15, 34B16, 65L10, 65L11 In this paper, we introduce and study a class of resolvent dynamical systems to investigate some inertial proximal methods for solving mixed variational inequalities. These proposed methods along with their discretizations and derived rates of convergences require only the monotonicity for mixed variational inequalities under some mild conditions. We establish the global asymptotically and exponentially stability of the solution of the resolvent dynamical system for monotone operators. Ideas and techniques of this paper may be extended for other classes of variational inequalities and equilibrium problems. |
| title | A Third Order Dynamical System for Mixed Variational Inequalities |
| topic | Dynamical Systems 34B15, 34B16, 65L10, 65L11 |
| url | https://arxiv.org/abs/2406.19345 |