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p-E-凸集及其若干性质
引用本文:刘卫锋.p-E-凸集及其若干性质[J].郑州大学学报(自然科学版),2014(1):28-32.
作者姓名:刘卫锋
作者单位:郑州航空工业管理学院数理系,河南郑州450015
基金项目:河南省教育厅科学技术研究重点项目,编号12B110027.
摘    要:在p-凸集和E-凸集概念基础上,通过将p-凸集和E-凸集相结合,提出了一种广义凸集——p-E-凸集,使得凸集、p-凸集和E-凸集成为它的特例,推广了凸集的概念.最后,初步研究了p-E-凸集的性质.

关 键 词:凸集  p-E-凸集  p-凸集  E-凸集

p-E-Convex Set and Its Properties
LIU Wei-feng.p-E-Convex Set and Its Properties[J].Journal of Zhengzhou University (Natural Science),2014(1):28-32.
Authors:LIU Wei-feng
Institution:LIU Wei-feng (Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015, China)
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.
Keywords:convex set  p-E-convex set  p-convex set  E-convex set
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