Let f be a continuous convex function on a Banach space E. This paper shows that every proper convex function g on E with g F f is generically Frechet differentiable if and only if the image of the subdifferential map Ѩ f of f has the Radon᎐Nikodym property, and in this case it is equivalent to show
✦ LIBER ✦
Differentiability properties for a class of non-convex functions
✍ Scribed by Giovanni Colombo; Antonio Marigonda
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 522 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0944-2669
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