М. А. Севодин
Abstract
We consider sets which are convex in directions from some cone K . We generalize some well-known properties of ordinary convex sets for the case of K -convex sets and give some applications in optimization theory.
OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
We consider sets which are convex in directions from some cone K . We generalize some well-known properties of ordinary convex sets for the case of K -convex sets and give some applications in optimization theory.
Key concepts: Mathematics, Conic optimization, Subderivative, Convex analysis, Convex cone, Dual cone and polar cone, Convex set, Cone (formal languages)