Adaptation of Moreau-Yosida regularization to the modulus of convexity
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911103160680448 |
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| author | Penz, Markus Laestadius, Andre |
| author_facet | Penz, Markus Laestadius, Andre |
| contents | We study a generalization of Moreau-Yosida regularization that is adapted to the geometry of Banach spaces where the dual space is uniformly convex with modulus of convexity of power type. Important properties for regularized convex functions are given, in particular strong monotonicity of the subdifferential of their convex conjugate and Hölder-continuity of their gradient. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01772 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Adaptation of Moreau-Yosida regularization to the modulus of convexity Penz, Markus Laestadius, Andre Functional Analysis Mathematical Physics We study a generalization of Moreau-Yosida regularization that is adapted to the geometry of Banach spaces where the dual space is uniformly convex with modulus of convexity of power type. Important properties for regularized convex functions are given, in particular strong monotonicity of the subdifferential of their convex conjugate and Hölder-continuity of their gradient. |
| title | Adaptation of Moreau-Yosida regularization to the modulus of convexity |
| topic | Functional Analysis Mathematical Physics |
| url | https://arxiv.org/abs/2504.01772 |