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math.OC2022
High order tangent vectors to sets with applications to constrained optimization problems
Valentin V. Gorokhovik
We introduce an extended tangent cone of high order to a set and study its properties. Then we use this local approximation for deriving high-order necessary conditions for local m…
math.OC2022
Regularly abstract convex functions with respect to the set of Lipschitz continuous concave functions
Valentin V. Gorokhovik
The goal of the paper is to study the particular class of regularly -convex functions, when is the set of…