Subdifferential of the closed convex hull of a function and integration with nonconvex data in general normed spaces

Title: Subdifferential of the closed convex hull of a function and integration with nonconvex data in general normed spaces
Creator: López, Marco; Volle, Michel
Date: 2012
Type: Text; Journal article
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/166147
Identifier: vital:13382
Identifier: https://doi.org/10.1016/j.jmaa.2012.01.042
Identifier: ISBN:0022-247X
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.
Publisher: Elsevier
Relation: Journal of Mathematical Analysis and Applications Vol. 390, no. 1 (2012), p. 307-312; http://purl.org/au-research/grants/arc/DP110102011
Rights: This metadata is freely available under a CCO license
Subject: 0101 Pure Mathematics; 0102 Applied Mathematics; 0906 Electrical and Electronic Engineering; ε-Subdifferential; Closed-convexification; Convex analysis; Integration formulas
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