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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Vydané v:	Journal of optimization theory and applications Ročník 171; číslo 3; s. 785 - 819
Hlavní autori:	Van Ngai, Huynh, Tron, Nguyen Huu, Théra, Michel
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York Springer US 01.12.2016 Springer Nature B.V
Predmet:	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
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