- Tytuł:
- φ-regular functions in Asplund spaces
- Autorzy:
-
Ngai, H. V.
Thera, M. - Powiązania:
- https://bibliotekanauki.pl/articles/970242.pdf
- Data publikacji:
- 2007
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
φ-regularity
Frechet subdifferential
limiting sub-differential
prox-regularity
lower-C2 function
convexly composite function
Moreau envelope
regularization - Opis:
- We introduce in the context of Asplund spaces, a new class of (φ-regular functions. This new concept generalizes the one of prox-regularity introduced by Poliquin & Rockafellar (2000) in Rn and extended to Banach spaces by Bernard & Thibault (2004). In particular, the class of φ-regular functions includes all lower semi-continuous convex functions, all lower-C2 functions, and convexly C1,0-composite functions as well. Geometrical and subdifferential characterizations for this new class of functions are investigated.
- Źródło:
-
Control and Cybernetics; 2007, 36, 3; 755-774
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł