Journal of Convex Analysis 32 (2025), No. 1, 009--024
Copyright Heldermann Verlag 2025
Coderivative of the Metric Projection of Strictly Hadamard Differentiable Sets in Euclidean Spaces
Laila Alsharief
Institut de Mathématiques, Université de Bourgogne, Dijon, France
laila.alsharief@u-bourgogne.fr
Abderrahim Jourani
Institut de Mathématiques, Université de Bourgogne, Dijon, France
abderrahim.jourani@u-bourgogne.fr
This paper focuses on the study of the coderivative of the metric projection mapping in finite dimensional spaces. It presents estimates for the Dini and Mordukhovich coderivatives for two specific classes of convex sets: strictly Hadamard differentiable sets and sets satisfying the polyhedral property.
Keywords: Projection mapping, subdifferential, coderivative, strict Hadamard differentiability, polyhedricity.
MSC: 46C05, 46G05, 47H99, 49J52, 58C20.
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