Forward-backward-forward dynamics for bilevel equilibrium problem
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917617042718720 |
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| author | Mittal, Kanchan Gautam, Pankaj Vetrivel, V. |
| author_facet | Mittal, Kanchan Gautam, Pankaj Vetrivel, V. |
| contents | We introduce a forward-backward-forward (FBF) algorithm for solving bilevel equilibrium problem associated with bifunctions on a real Hilbert space. This modifies the forward-backward algorithm by relaxing cocoercivity with monotone and Lipschitzness. Further, we present the FBF dynamical system and investigate the generated trajectory's existence, uniqueness and weak convergence. We illustrate the proposed method for equilibrium problem under saddle point constraint. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_11493 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Forward-backward-forward dynamics for bilevel equilibrium problem Mittal, Kanchan Gautam, Pankaj Vetrivel, V. Optimization and Control We introduce a forward-backward-forward (FBF) algorithm for solving bilevel equilibrium problem associated with bifunctions on a real Hilbert space. This modifies the forward-backward algorithm by relaxing cocoercivity with monotone and Lipschitzness. Further, we present the FBF dynamical system and investigate the generated trajectory's existence, uniqueness and weak convergence. We illustrate the proposed method for equilibrium problem under saddle point constraint. |
| title | Forward-backward-forward dynamics for bilevel equilibrium problem |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2403.11493 |