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Titel
Calculus for Directional Limiting Normal Cones and Subdifferentials
AutorInnenMatúš, Benko ; Gfrerer, Helmut In der Gemeinsamen Normdatei der DNB nachschlagen ; Outrata, Jiří V.
Erschienen in
Set-Valued and Variational Analysis, 2018,
ErschienenSpringer Netherlands, 2018
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)Generalized differential calculus / Directional limiting normal cone / Directional limiting subdifferential / Qualification conditions
ISSN1877-0541
URNurn:nbn:at:at-ubl:3-471 Persistent Identifier (URN)
DOI10.1007/s11228-018-0492-5 
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Calculus for Directional Limiting Normal Cones and Subdifferentials [0.78 mb]
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Zusammenfassung (Englisch)

The paper is devoted to the development of a comprehensive calculus for directional limiting normal cones, subdifferentials and coderivatives in finite dimensions. This calculus encompasses the whole range of the standard generalized differential calculus for (non-directional) limiting notions and relies on very weak (non-restrictive) qualification conditions having also a directional character. The derived rules facilitate the application of tools exploiting the directional limiting notions to difficult problems of variational analysis including, for instance, various stability and sensitivity issues. This is illustrated by some selected applications in the last part of the paper.

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CC-BY-Lizenz (4.0)Creative Commons Namensnennung 4.0 International Lizenz