English

High order tangent vectors to sets with applications to constrained optimization problems

Optimization and Control 2022-08-11 v1

Abstract

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 minimizers of constrained optimization problems.

Keywords

Cite

@article{arxiv.2208.05235,
  title  = {High order tangent vectors to sets with applications to constrained optimization problems},
  author = {Valentin V. Gorokhovik},
  journal= {arXiv preprint arXiv:2208.05235},
  year   = {2022}
}

Comments

15 pages

R2 v1 2026-06-25T01:37:09.779Z