- 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
- Copyright © 2012 Elsevier Inc.
- 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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