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Generalization of Asplund inequalities on Lipschitz functions

✍ Scribed by S. Rolewicz


Publisher
Springer
Year
1993
Tongue
English
Weight
210 KB
Volume
61
Category
Article
ISSN
0003-889X

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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