Subdifferential of the closed convex hull of a function and integration with nonconvex data in general normed spaces |
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Authors: | MA López M Volle |
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Institution: | 1. Dep. of Statistics and Operations Research, Faculty of Sciences, Alicante University, Alicante, Spain;2. Laboratoire de Mathématiques, Université d?Avignon, Avignon, France |
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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. |
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