Metric Regularity Relative to a Cone

The purpose of this paper is to discuss some of the highlights of the theory of metric regularity relative to a cone. For example, we establish a slope and some coderivative characterizations of this concept, as well as some stability results with respect to a Lipschitz perturbation.

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Podrobná bibliografia
Vydané v:	Vietnam journal of mathematics Ročník 47; číslo 3; s. 733 - 756
Hlavní autori:	Van Ngai, Huynh, Tron, Nguyen Huu, Théra, Michel
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Singapore Springer Singapore 15.09.2019 Springer Nature B.V
Predmet:	Mathematics Mathematics and Statistics Perturbation Regularity Metric subregularity Limiting subdifferential Fréchet subdifferential Coderivative Directional Hölder metric subregularity Directional metric regularity Slope Abstract subdifferential 90C30 Asplund space 49J53 Fréchet normal cone Limiting normal cone 49J52 Metric regularity
ISSN:	2305-221X, 2305-2228
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Popis
Shrnutí:	The purpose of this paper is to discuss some of the highlights of the theory of metric regularity relative to a cone. For example, we establish a slope and some coderivative characterizations of this concept, as well as some stability results with respect to a Lipschitz perturbation.
Bibliografia:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	2305-221X 2305-2228
DOI:	10.1007/s10013-019-00361-7