On the coderivative of the projection operator onto the second-order cone

J.V. Outrata; Defeng Sun

doi:10.1007/s11228-008-0092-x

On the coderivative of the projection operator onto the second-order cone

J.V. Outrata
, Defeng Sun

Research output: Journal article publication › Journal article › Academic research › peer-review

64 Citations (Scopus)

Abstract

The limiting (Mordukhovich) coderivative of the metric projection onto the second-order cone \mathbb{R}{n} is computed. This result is used to obtain a sufficient condition for the Aubin property of the solution map of a parameterized second-order cone complementarity problem and to derive necessary optimality conditions for a mathematical program with a second-order cone complementarity problem among the constraints. © 2008 Springer Science+Business Media B.V.

Original language	English
Pages (from-to)	999-1014
Number of pages	16
Journal	Set-Valued Analysis
Volume	16
Issue number	7-8
DOIs	https://doi.org/10.1007/s11228-008-0092-x
Publication status	Published - 1 Dec 2008
Externally published	Yes

Keywords

Aubin property
Limiting coderivative
Projection
Second-order cone

ASJC Scopus subject areas

Analysis
Applied Mathematics

More information

10.1007/s11228-008-0092-x

Cite this

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N2 - The limiting (Mordukhovich) coderivative of the metric projection onto the second-order cone \mathbb{R}{n} is computed. This result is used to obtain a sufficient condition for the Aubin property of the solution map of a parameterized second-order cone complementarity problem and to derive necessary optimality conditions for a mathematical program with a second-order cone complementarity problem among the constraints. © 2008 Springer Science+Business Media B.V.

AB - The limiting (Mordukhovich) coderivative of the metric projection onto the second-order cone \mathbb{R}{n} is computed. This result is used to obtain a sufficient condition for the Aubin property of the solution map of a parameterized second-order cone complementarity problem and to derive necessary optimality conditions for a mathematical program with a second-order cone complementarity problem among the constraints. © 2008 Springer Science+Business Media B.V.

KW - Aubin property

KW - Limiting coderivative

KW - Projection

KW - Second-order cone

UR - https://www.scopus.com/pages/publications/58149165329

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DO - 10.1007/s11228-008-0092-x

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ER -

On the coderivative of the projection operator onto the second-order cone

Abstract

Keywords

ASJC Scopus subject areas

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