On Non-Monotone Variational Inequalities
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909823026593792 |
|---|---|
| author | Arefizadeh, Sina Nedić, Angelia |
| author_facet | Arefizadeh, Sina Nedić, Angelia |
| contents | In this paper, we provide some sufficient conditions for the existence of solutions to non-monotone Variational Inequalities (VIs) based on inverse mapping theory and degree theory. We have obtained several applicable sufficient conditions for this problem and have introduced a sufficient condition for the existence of a Minty solution. We have shown that the Korpelevich and Popov methods converge to a solution of a non-monotone VI, provided that a Minty solution exists. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_02724 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Non-Monotone Variational Inequalities Arefizadeh, Sina Nedić, Angelia Optimization and Control In this paper, we provide some sufficient conditions for the existence of solutions to non-monotone Variational Inequalities (VIs) based on inverse mapping theory and degree theory. We have obtained several applicable sufficient conditions for this problem and have introduced a sufficient condition for the existence of a Minty solution. We have shown that the Korpelevich and Popov methods converge to a solution of a non-monotone VI, provided that a Minty solution exists. |
| title | On Non-Monotone Variational Inequalities |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2510.02724 |