Geodesic
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. 
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     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},
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     volume = {29},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2021_29_1_a4/}
}
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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/