Directional Hölder Metric Regularity

This paper sheds new light on regularity of multifunctions through various characterizations of directional Hölder/Lipschitz metric regularity, which are based on the concepts of slope and coderivative. By using these characterizations, we show that directional Hölder/Lipschitz metric regularity is...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 171; no. 3; pp. 785 - 819
Main Authors:	Van Ngai, Huynh, Tron, Nguyen Huu, Théra, Michel
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.12.2016 Springer Nature B.V
Subjects:	Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Control theory Engineering Mathematical functions Mathematical models Mathematics Mathematics and Statistics Neighborhoods Operations Research/Decision Theory Optimization Regularity Sensitivity analysis Sheds Slopes Stability Stability analysis Studies Theory of Computation Fréchet subdifferential 58C06 Ekeland variational principle Slope Hadamard directional differentiability 90C30 49J53 49J52 Generalized equation Asplund spaces Metric regularity Hölder metric regularity 54C60 47H04
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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