On the directional asymptotic approach in optimization theory

As a starting point of our research, we show that, for a fixed order $$\gamma \ge 1$$ γ ≥ 1 , each local minimizer of a rather general nonsmooth optimization problem in Euclidean spaces is either M-stationary in the classical sense (corresponding to stationarity of order 1), satisfies stationarity c...

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Bibliographic Details

Published in:	Mathematical programming Vol. 209; no. 1-2; pp. 859 - 937
Main Authors:	Benko, Matúš, Mehlitz, Patrick
Format:	Journal Article
Language:	English
Published:	Netherlands Springer Berlin Heidelberg 01.01.2025
Subjects:	Full Length Paper Pseudo- and quasi-normality Asymptotic stationarity and regularity M-stationarity Constraint qualifications Directional limiting variational calculus Pseudo- and super-coderivatives
ISSN:	0025-5610, 1436-4646
Online Access:	Get full text
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