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Prox-Regularity of Functions and Sets in Banach Spaces

✍ Scribed by Bernard, Frédéric ;Thibault, Lionel

Book ID
111612559
Publisher
Springer
Year
2004
Tongue
English
Weight
193 KB
Volume
12
Category
Article
ISSN
0927-6947

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📜 SIMILAR VOLUMES

Uniform prox-regularity of functions and
Uniform prox-regularity of functions and epigraphs in Hilbert spaces
✍ F. Bernard; L. Thibault 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 285 KB

We study the local uniform prox-regularity of functions, make the connection with the lower-C 2 property, and essentially, with the prox-regularity of epigraphs.

Weak regularity of functions and sets in
Weak regularity of functions and sets in Asplund spaces
✍ Abderrahim Jourani 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 242 KB

In this paper, we study a new concept of weak regularity of functions and sets in Asplund spaces. We show that this notion includes prox-regular functions, functions whose subdifferential is weakly submonotone and amenable functions in infinite dimension. We establish also that weak regularity is eq