On differentiability of metric projections onto moving convex sets

Authors
Dentcheva, D
Citation
D. Dentcheva, On differentiability of metric projections onto moving convex sets, ANN OPER R, 101, 2001, pp. 283-298
Citations number
32
Categorie Soggetti
Engineering Mathematics
Journal title
ANNALS OF OPERATIONS RESEARCH
ISSN journal
02545330 → ACNP
Volume
101
Year of publication
2001
Pages
283 - 298
Database
ISI
SICI code
0254-5330(2001)101:<283:ODOMPO>2.0.ZU;2-J
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 b oundary points is characterized. The conditions axe formulated in terms of differentiability of multifunctions and properties of the set-derivatives a re shown.