| Autor: |
Nacry, Florent, Thibault, Lionel |
| Zdroj: |
Set-Valued & Variational Analysis; Jun2022, Vol. 30 Issue 2, p731-750, 20p |
| Abstrakt: |
In this paper, we provide in a general Hilbert space new characterizations of uniform prox-regularity involving outside but sufficiently close points of considered sets. We show that the complement of a prox-regular set is nothing but the union of closed balls with common radius. We derive from this that the prox-regularity of a given closed set is equivalent to the semiconvexity property of its distance function. Various estimates involving the metric projection mapping to a prox-regular set are also established. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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