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Decrease of C 1,1 property in vector optimization

Published online by Cambridge University Press:  08 October 2009

Dušan Bednařík  and
Karel Pastor
Dušan Bednařík
Affiliation:
Institute of Applied Physics and Mathematics, University of Pardubice, Studentská 95, 532 10 Pardubice, Czech Republic; and Department of Mathematics, University of Hradec Králové, Rokitanského 62, 500 03 Hradec Králové, Czech Republic; dbednarik@seznam.cz
Karel Pastor
Affiliation:
Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University, Tř. Svobody 26, 771 46 Olomouc,Czech Republic; pastor@inf.upol.cz.
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Abstract

In the paper we generalize sufficient and necessary optimality conditions obtained by Ginchev, Guerraggio, Rocca, and by authors with the help of the notion of ℓ-stability for vector functions.

Keywords

C 1,1 functionℓ-stable functiongeneralized second-order directional derivativeDini derivativeweakly efficient minimizerisolated minimizer of second-order.

Information

Type
Research Article
Information
RAIRO - Operations Research , Volume 43 , Issue 4: ROADEF 07 , October 2009 , pp. 359 - 372
Copyright
© EDP Sciences, ROADEF, SMAI, 2009

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