Stability properties of KKT points in vector optimization

In this article we introduce the notion of approximate Karush-Kuhn-Tucker (KKT) points for smooth, convex and nonsmooth, nonconvex vector optimization problems. We study a kind of stability of these points and KKT points of vector optimization problems. In the convex case we also introduce and study...

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Veröffentlicht in:Optimization Jg. 60; H. 7; S. 823 - 838
Hauptverfasser: Durea, M., Dutta, J., Tammer, Chr
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Philadelphia Taylor & Francis Group 01.07.2011
Taylor & Francis LLC
Schlagworte:
(approximate) KKT points
Approximation
coderivatives of set-valued mappings
Lagrange multipliers
Mathematical analysis
Nonlinear programming
Optimization
Optimization techniques
set-valued optimization
Stability
Studies
Variational principles
Vectors (mathematics)
ISSN:0233-1934, 1029-4945
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Zusammenfassung:In this article we introduce the notion of approximate Karush-Kuhn-Tucker (KKT) points for smooth, convex and nonsmooth, nonconvex vector optimization problems. We study a kind of stability of these points and KKT points of vector optimization problems. In the convex case we also introduce and study the notion of modified approximate KKT points motivated by Ekeland's variational principle. We prove stability properties of these points for several optimization problems.
Bibliographie:SourceType-Scholarly Journals-1
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ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2011.587189