| Issue |
RAIRO-Oper. Res.
Volume 43, Number 4, October-December 2009
ROADEF 07
|
|
|---|---|---|
| Page(s) | 359 - 372 | |
| Section | Regular articles | |
| DOI | https://doi.org/10.1051/ro/2009023 | |
| Published online | 08 October 2009 | |
Decrease of C1,1 property in vector optimization
1
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
2
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.
Received:
13
July
2007
Accepted:
3
March
2009
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.
Mathematics Subject Classification: 49K10 / 49J52 / 49J50 / 90C29 / 90C30
Key words: C1,1 function / ℓ-stable function / generalized second-order directional derivative / Dini derivative / weakly efficient minimizer / isolated minimizer of second-order.
© EDP Sciences, ROADEF, SMAI, 2009
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