Volume 43, Number 4, October-December 2009ROADEF 07
|Page(s)||359 - 372|
|Published online||08 October 2009|
Decrease of C1,1 property in vector optimization
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; email@example.com
2 Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University, Tř. Svobody 26, 771 46 Olomouc,Czech Republic; firstname.lastname@example.org.
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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