On differentiability of metric projections onto moving convex sets

On differentiability of metric projections onto moving convex sets

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Article ID: iaor20021452
Country: Netherlands
Volume: 101
Issue: 1
Start Page Number: 283
End Page Number: 298
Publication Date: Jan 2001
Journal: Annals of Operations Research
Authors:
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.

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