Necessary conditions for vector optimization in infinite dimension
Kybernetika, Tome 51 (2015) no. 6, pp. 1023-1034
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In the paper we present second-order necessary conditions for constrained vector optimization problems in infinite-dimensional spaces. In this way we generalize some corresponding results obtained earlier.
DOI :
10.14736/kyb-2015-6-1023
Classification :
49J50, 49J52, 49K10, 90C29, 90C30
Keywords: $C^{1{}, 1}$–function; ${\ell }$–stable function; generalized second-order directional derivative; Dini derivative; vector optimization
Keywords: $C^{1{}, 1}$–function; ${\ell }$–stable function; generalized second-order directional derivative; Dini derivative; vector optimization
@article{10_14736_kyb_2015_6_1023,
author = {Dvorsk\'a, Marie and Pastor, Karel},
title = {Necessary conditions for vector optimization in infinite dimension},
journal = {Kybernetika},
pages = {1023--1034},
publisher = {mathdoc},
volume = {51},
number = {6},
year = {2015},
doi = {10.14736/kyb-2015-6-1023},
mrnumber = {3453683},
zbl = {06537793},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-6-1023/}
}
TY - JOUR AU - Dvorská, Marie AU - Pastor, Karel TI - Necessary conditions for vector optimization in infinite dimension JO - Kybernetika PY - 2015 SP - 1023 EP - 1034 VL - 51 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-6-1023/ DO - 10.14736/kyb-2015-6-1023 LA - en ID - 10_14736_kyb_2015_6_1023 ER -
%0 Journal Article %A Dvorská, Marie %A Pastor, Karel %T Necessary conditions for vector optimization in infinite dimension %J Kybernetika %D 2015 %P 1023-1034 %V 51 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-6-1023/ %R 10.14736/kyb-2015-6-1023 %G en %F 10_14736_kyb_2015_6_1023
Dvorská, Marie; Pastor, Karel. Necessary conditions for vector optimization in infinite dimension. Kybernetika, Tome 51 (2015) no. 6, pp. 1023-1034. doi: 10.14736/kyb-2015-6-1023
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