- Tytuł:
- Radiality and semismoothness
- Autorzy:
- Jourani, A.
- Tematy:
-
Dini-radiality
Clarke-radiality
semismoothness
subdifferential
calmness
subanalytic set - Pokaż więcej
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Powiązania:
- https://bibliotekanauki.pl/articles/970249.pdf  Link otwiera się w nowym oknie
- Opis:
- We provide sufficient conditions for radiality and semismoothness. In general Banach spaces, we show that calmness ensures Dini-radiality as well as Dini-convexity of solution set to inequality systems. In finite dimensional spaces, we introduce the concept of Clarke-radiality and semismoothness of order m and show that each subanalytic set satisfies these properties. Similar properties are obtained for locally Lipschitzian subanalytic functions.
- Dostawca treści:
- Biblioteka Nauki
Artykuł