Explicit Convergence Rate of The Proximal Point Algorithm under R-Continuity
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909290082598912 |
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| author | Le, Ba Khiet Théra, Michel |
| author_facet | Le, Ba Khiet Théra, Michel |
| contents | The paper provides a thorough comparison between R-continuity and other fundamental tools in optimization such as metric regularity, metric subregularity and calmness. We show that R-continuity has some advantages in the convergence rate analysis of algorithms solving optimization problems. We also present some properties of R-continuity and study the explicit convergence rate of the Proximal Point Algorithm (PPA) under the R-continuity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09139 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Explicit Convergence Rate of The Proximal Point Algorithm under R-Continuity Le, Ba Khiet Théra, Michel Optimization and Control The paper provides a thorough comparison between R-continuity and other fundamental tools in optimization such as metric regularity, metric subregularity and calmness. We show that R-continuity has some advantages in the convergence rate analysis of algorithms solving optimization problems. We also present some properties of R-continuity and study the explicit convergence rate of the Proximal Point Algorithm (PPA) under the R-continuity. |
| title | Explicit Convergence Rate of The Proximal Point Algorithm under R-Continuity |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2408.09139 |