On Differentiability of Metric Projections onto Moving Convex Sets

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Abstract

We consider properties of the metric projections onto moving convex sets in normed linear spaces. Under certain conditions about the norm, directional differentiability of first and higher order of the metric projections at boundary points is characterized. The conditions are formulated in terms of differentiability of multifunctions and properties of the set-derivatives are shown.

Original languageEnglish
Pages (from-to)283-298
Number of pages16
JournalAnnals of Operations Research
Volume101
Issue number1-4
DOIs
StatePublished - 2001

Keywords

  • Directional differentiability
  • E-space
  • Metric projection
  • Wijsman topology

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