Solving Non-Monotone Inclusions Using Monotonicity of Pairs of Operators
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910795683594240 |
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| author | Le, Ba Khiet Dao, Minh N. Théra, Michel |
| author_facet | Le, Ba Khiet Dao, Minh N. Théra, Michel |
| contents | In this paper, under the monotonicity of pairs of operators, we propose some Generalized Proximal Point Algorithms to solve non-monotone inclusions using warped resolvents and transformed resolvents. The weak, strong, and linear convergence of the proposed algorithms are established under very mild conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_13637 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Solving Non-Monotone Inclusions Using Monotonicity of Pairs of Operators Le, Ba Khiet Dao, Minh N. Théra, Michel Optimization and Control In this paper, under the monotonicity of pairs of operators, we propose some Generalized Proximal Point Algorithms to solve non-monotone inclusions using warped resolvents and transformed resolvents. The weak, strong, and linear convergence of the proposed algorithms are established under very mild conditions. |
| title | Solving Non-Monotone Inclusions Using Monotonicity of Pairs of Operators |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2501.13637 |