On Differentiability of Metric Projections onto Moving Convex Sets

Darinka Dentcheva

doi:10.1023/A:1010945230381

On Differentiability of Metric Projections onto Moving Convex Sets

Darinka Dentcheva

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 language	English
Pages (from-to)	283-298
Number of pages	16
Journal	Annals of Operations Research
Volume	101
Issue number	1-4
DOIs	https://doi.org/10.1023/A:1010945230381
State	Published - 2001

Keywords

Directional differentiability
E-space
Metric projection
Wijsman topology

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title = "On Differentiability of Metric Projections onto Moving Convex Sets",

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.",

keywords = "Directional differentiability, E-space, Metric projection, Wijsman topology",

author = "Darinka Dentcheva",

year = "2001",

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language = "English",

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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

UR - https://www.scopus.com/pages/publications/0035619271

UR - https://www.scopus.com/pages/publications/0035619271#tab=citedBy

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 -

On Differentiability of Metric Projections onto Moving Convex Sets

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Keywords

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