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On generalized convexity in Asplund spaces

✍ Scribed by M. Soleimani-damaneh


Book ID
108216096
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
317 KB
Volume
70
Category
Article
ISSN
0362-546X

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✍ Cheng Lixin; Shi Shuzhong; E.S. Lee πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 204 KB

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