Decrease of $C^{1,1}$ property in vector optimization

Bednařík, Dušan; Pastor, Karel

doi:10.1051/ro/2009023

Geodesic

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Decrease of

C^{1, 1}

property in vector optimization

Bednařík, Dušan ; Pastor, Karel

RAIRO - Operations Research - Recherche Opérationnelle, Tome 43 (2009) no. 4, pp. 359-372

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Résumé

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.

DOI : 10.1051/ro/2009023

Classification : 49K10, 49J52, 49J50, 90C29, 90C30
Keywords: $C^{1,1}$ function, ${\ell }$-stable function, generalized second-order directional derivative, Dini derivative, weakly efficient minimizer, isolated minimizer of second-order

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     author = {Bedna\v{r}{\'\i}k, Du\v{s}an and Pastor, Karel},
     title = {Decrease of $C^{1,1}$ property in vector optimization},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {359--372},
     publisher = {EDP-Sciences},
     volume = {43},
     number = {4},
     year = {2009},
     doi = {10.1051/ro/2009023},
     mrnumber = {2573992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ro/2009023/}
}

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Bednařík, Dušan; Pastor, Karel. Decrease of $C^{1,1}$ property in vector optimization. RAIRO - Operations Research - Recherche Opérationnelle, Tome 43 (2009) no. 4, pp. 359-372. doi: 10.1051/ro/2009023

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