A primal-dual backward reflected forward splitting algorithm for structured monotone inclusions
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866910293539422208 |
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| author | Bang, Vu Cong Papadimitriou, Dimitri Nham, Vu Xuan |
| author_facet | Bang, Vu Cong Papadimitriou, Dimitri Nham, Vu Xuan |
| contents | We propose a primal-dual backward reflected forward splitting method for solving structured primal-dual monotone inclusion in real Hilbert space. The algorithm allows to use the inexact computations of the Lipschitzian and cocoercive operators. The strong convergence of the generated iterative sequence is proved under the strong monotonicity condition, whilst the weak convergence is formally proved under several conditioned used in the literature. An application to a structured minimization problem is supported. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_05292 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A primal-dual backward reflected forward splitting algorithm for structured monotone inclusions Bang, Vu Cong Papadimitriou, Dimitri Nham, Vu Xuan Optimization and Control We propose a primal-dual backward reflected forward splitting method for solving structured primal-dual monotone inclusion in real Hilbert space. The algorithm allows to use the inexact computations of the Lipschitzian and cocoercive operators. The strong convergence of the generated iterative sequence is proved under the strong monotonicity condition, whilst the weak convergence is formally proved under several conditioned used in the literature. An application to a structured minimization problem is supported. |
| title | A primal-dual backward reflected forward splitting algorithm for structured monotone inclusions |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2401.05292 |