On Derivative Criteria for Metric Regularity

On Derivative Criteria for Metric Regularity

We give a simple self-contained proof of the equality which links directly the graphical derivative and coderivative criteria for metric regularity. Then we present a sharper form of the criterion for strong metric regularity involving the paratingent derivative.

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Bibliographische Detailangaben
Hauptverfasser: Frankowska, Hélène, Dontchev, Asen
Format: Buchkapitel
Sprache:eng
Schlagworte:
Coderivative
Functional analysis & transforms
Graphical derivative
Mathematics
Metric regularity
Number theory
Operational research
Optimization and Control
Paratingent derivative
Primary 49J52
Secondary 49J53
Set-valued mapping
Strong metric regularity
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Beschreibung
Zusammenfassung:We give a simple self-contained proof of the equality which links directly the graphical derivative and coderivative criteria for metric regularity. Then we present a sharper form of the criterion for strong metric regularity involving the paratingent derivative.
ISSN:2194-1009
2194-1017
DOI:10.1007/978-1-4614-7621-4_16