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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Veröffentlicht in:	Set-valued and variational analysis Jg. 33; H. 1; S. 8
1. Verfasser:	Gfrerer, Helmut
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Dordrecht Springer Netherlands 01.03.2025 Springer Nature B.V
Schlagworte:	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-Zugang:	Volltext
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