Fréchet differentiability of regular locally Lipschitzian functions
✍ Scribed by Maria Gieraltowska-Kedzierska; F.S Van Vleck
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 623 KB
- Volume
- 159
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The reduction of the Ѩ-problem on a Frechet nuclear space to the study of the Ѩ-operator on a Hilbert space produces a global solution u when the second member w factors globally through this Hilbert space. Easy counterexamples show that this global factorization is not in general possible and hence
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