High-order tangent vectors to sets and high-order necessary minimality conditions for vector optimization problems
Trudy Instituta matematiki, Tome 29 (2021) no. 1, pp. 52-66
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We introduce an high-order extended tangent cone to a set and study its properties. Then we use this local approximation for deriving high-order necessary conditions for minimal points of subsets of ordered normed spaces.
@article{TIMB_2021_29_1_a4,
author = {V. V. Gorokhovik},
title = {High-order tangent vectors to sets and high-order necessary minimality conditions for vector optimization problems},
journal = {Trudy Instituta matematiki},
pages = {52--66},
publisher = {mathdoc},
volume = {29},
number = {1},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMB_2021_29_1_a4/}
}
TY - JOUR AU - V. V. Gorokhovik TI - High-order tangent vectors to sets and high-order necessary minimality conditions for vector optimization problems JO - Trudy Instituta matematiki PY - 2021 SP - 52 EP - 66 VL - 29 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMB_2021_29_1_a4/ LA - ru ID - TIMB_2021_29_1_a4 ER -
%0 Journal Article %A V. V. Gorokhovik %T High-order tangent vectors to sets and high-order necessary minimality conditions for vector optimization problems %J Trudy Instituta matematiki %D 2021 %P 52-66 %V 29 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMB_2021_29_1_a4/ %G ru %F TIMB_2021_29_1_a4
V. V. Gorokhovik. High-order tangent vectors to sets and high-order necessary minimality conditions for vector optimization problems. Trudy Instituta matematiki, Tome 29 (2021) no. 1, pp. 52-66. http://geodesic.mathdoc.fr/item/TIMB_2021_29_1_a4/