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 Ρ¨ f of f has the RadonαNikodym property, and in this case it is equivalent to show
Very Differentiable and Generic Frechet Differentiable Convex Functions on Banach Spaces
β Scribed by Xi Yin Zheng
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 105 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0022-247X
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