New Characterizations of Strong Convexity
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866913647774662656 |
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| author | Nour, Chadi Takche, Jean |
| author_facet | Nour, Chadi Takche, Jean |
| contents | Parallel to the main results of [13] and [14], which explore the equivalence between prox-regularity, the exterior sphere condition, and $S$-convexity, we present novel characterizations of the $r$-strong convexity property, namely, of the sets that can be expressed as the intersection of closed balls with the same radius $r>0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07693 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New Characterizations of Strong Convexity Nour, Chadi Takche, Jean Metric Geometry 52A20, 49J52, 49J53 Parallel to the main results of [13] and [14], which explore the equivalence between prox-regularity, the exterior sphere condition, and $S$-convexity, we present novel characterizations of the $r$-strong convexity property, namely, of the sets that can be expressed as the intersection of closed balls with the same radius $r>0$. |
| title | New Characterizations of Strong Convexity |
| topic | Metric Geometry 52A20, 49J52, 49J53 |
| url | https://arxiv.org/abs/2501.07693 |