TY - JOUR
T1 - On Differentiability of Metric Projections onto Moving Convex Sets
AU - Dentcheva, Darinka
PY - 2001
Y1 - 2001
N2 - 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.
AB - 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.
KW - Directional differentiability
KW - E-space
KW - Metric projection
KW - Wijsman topology
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U2 - 10.1023/A:1010945230381
DO - 10.1023/A:1010945230381
M3 - Article
AN - SCOPUS:0035619271
SN - 0254-5330
VL - 101
SP - 283
EP - 298
JO - Annals of Operations Research
JF - Annals of Operations Research
IS - 1-4
ER -