Every lower semicontinuous convex function can be represented through its subdifferential by means of an "integration" formula introduced in  by Rockafellar. We show that in Banach spaces with the Radon-Nikodym property this formula can be significantly refined under a standard coercivity assumption. This yields an interesting application to the convexification of lower semicontinuous functions. © Heldermann Verlag.
|Journal||Journal of Convex Analysis|
|Publication status||Published - 1 Dec 2005|
- Convex function
- Cusco mapping
- Epi-pointed function
- Strongly exposed point