М. А. Севодин
Abstract
The article deals with sets that are convex in the direction of some set K. It is stated that many well-known properties of ordinary convex sets may be modified for the case of K-convex sets. Application in the theory of optimization is given.
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The article deals with sets that are convex in the direction of some set K. It is stated that many well-known properties of ordinary convex sets may be modified for the case of K-convex sets. Application in the theory of optimization is given.
Key concepts: Convex analysis, Convex set, Subderivative, Proper convex function, Mathematics, Convex combination, Regular polygon, Absolutely convex set