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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Bibliographic Details
Published in:	Vietnam journal of mathematics Vol. 47; no. 3; pp. 733 - 756
Main Authors:	Van Ngai, Huynh, Tron, Nguyen Huu, Théra, Michel
Format:	Journal Article
Language:	English
Published:	Singapore Springer Singapore 15.09.2019 Springer Nature B.V
Subjects:	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
Online Access:	Get full text
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