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Subdifferential of the closed convex hull of a function and integration with nonconvex data in general normed spaces
Authors:MA López  M Volle
Institution:1. Dep. of Statistics and Operations Research, Faculty of Sciences, Alicante University, Alicante, Spain;2. Laboratoire de Mathématiques, Université d?Avignon, Avignon, France
Abstract:In this paper we approach the study of the subdifferential of the closed convex hull of a function and the related integration problem without the usual assumption of epi-pointedness. The key tool is, as in Hiriart-Urruty et al. (2011) 7], the concept of ε-subdifferential. Some other assumptions which are standard in the literature are also removed.
Keywords:
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