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
Uniform prox-regularity of functions and epigraphs in Hilbert spaces
โ Scribed by F. Bernard; L. Thibault
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 285 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0362-546X
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โฆ Synopsis
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.
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