Abstract

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.

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Keywords

  • Projection mapping
  • subdifferential
  • coderivative
  • strict Hadamard differentiability
  • polyhedricity

Mathematics Subject Classification

46C05, 46G05, 47H99, 49J52, 58C20

Suggested citation

L. Alsharief, A. Jourani. “Coderivative of the Metric Projection of Strictly Hadamard Differentiable Sets in Euclidean Spaces.” Journal of Convex Analysis 32 (2025), No. 1, 9–24. https://doi.org/10.68381/jca32003

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Published by Heldermann Verlag, 2025. Rights now held by Banach Press.