On Second-Order Variational Analysis of Variational Convexity of Prox-Regular Functions

Variational convexity, together with ist strong counterpart, of extended-real-valued functions has been recently introduced by Rockafellar. In this paper we present second-order characterizations of these properties, i.e., conditions using first-order generalized derivatives of the subgradient mappi...

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Bibliographic Details
Published in:	Set-valued and variational analysis Vol. 33; no. 1; p. 8
Main Author:	Gfrerer, Helmut
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01.03.2025 Springer Nature B.V
Subjects:	Analysis Applied mathematics Computational mathematics Convexity Localization Mapping Mathematical functions Mathematics Mathematics and Statistics Neighborhoods Optimization Regularity Research Article Tilt-stable local minimizers 90C31 49J53 49J52 Coderivative Variational strong convexity Variational convexity Subspace containing derivative
ISSN:	1877-0533, 1877-0541
Online Access:	Get full text
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