Valentin V. Gorokhovik, High order tangent vectors to sets with applications to constrained optimization problems, Vol. 2022 (2022), Article ID 30, pp. 1-15

Full Text: PDF
DOI: 10.23952/cot.2022.30

Received August 13, 2022; Accepted October 5, 2022; Published December 23, 2022

 

Abstract. We introduce an extended tangent cone of high order to a set and study its properties. Then we use this local approximation to derive high-order necessary conditions for local minimizers of constrained optimization problems.

 

How to Cite this Article:
V.V. Gorokhovik, High order tangent vectors to sets with applications to constrained optimization problems, Commun. Optim. Theory 2022 (2022) 30.