Liu Wei-fen
Abstract
Based on the concepts of p-convex sets and E-convex sets,a generalized convex set defined as p-E-convex set was proposed by combining p-convex sets with E-convex sets,so that p-convex sets,Econvex sets and convex sets were made particular cases,and the concept of a convex sets was generalized. Some properties of p-E-convex sets were investigated.
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Based on the concepts of p-convex sets and E-convex sets,a generalized convex set defined as p-E-convex set was proposed by combining p-convex sets with E-convex sets,so that p-convex sets,Econvex sets and convex sets were made particular cases,and the concept of a convex sets was generalized. Some properties of p-E-convex sets were investigated.
Key concepts: Convex set, Subderivative, Convex combination, Convex analysis, Absolutely convex set, Proper convex function, Convex hull, Mathematics