2005-11-14Buch DOI: 10.18452/2680
On Differentiability of Metric Projections onto Moving Convex Sets
We consider properties of the metric projections onto moving convex sets in normed linear spaces. Under certain conditions about the norm, directional differentiability (of higher order) of the metric projections at boundary points is characterized. The characterization is formulated in terms differentiability of multifunctions and properties of the set-derivatives are shown.
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