Lower subdifferentiability and integration
type: Item
instance of: scholarly article
title: Lower subdifferentiability and integration
zbMATH Open document ID: 1009.47039
DOI: 10.1023/A:1014460029093
published in: Set-Valued Analysis
publication date: 2002-06-24T00:00:00Z
review text: This well written article is devoted to the question of integration of a multivalued operator \(T:X\to 2^{X^*}\), i.e., the problem of finding a function \(f\) such that, for a suitable notion of subdifferential, \(T\subset \partial f\). In this paper, the case where \(T\) is a \((L(x_0))\) multifunction with respect to some \(x_0\in \operatorname {Dom}T\), \(f\) is quasiconvex and \(\partial\) is the lower subdifferential \(\partial ^{<}\) is considered. Also, the density of the domains of subdifferential operators is characterized.
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47N10
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 46G05
Mathematics Subject Classification ID: 46N10
zbMATH DE Number: 1758604
zbMATH Keywords: lower subdifferential
zbMATH Keywords: integration
zbMATH Keywords: quasiconvex function
zbMATH Keywords: integration of a multivalued operator
author: Mohammed Bachir
author: A. Daniilidis
author: Jean-Paul Penot
reviewed by: Adrian Petruşel
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1758604