一类广义正线性集及其相关性质  

A Class of Generalized Linear Positive Set and Its Related Properties

作　　者：杨吉英 张娟[2] YANG Ji-ying;ZHANG Juan(Department of Mathematics and Statistics,Puer University,Puer 665000,China;Department of Engineering Oxbridgy,College Kunming University of Science and Technology,Kunming 650106,China)

机构地区：[1]普洱学院数学与统计学院,云南普洱665000 [2]昆明理工大学津桥学院工学系,云南昆明650106

出　　处：《数学的实践与认识》2018年第19期204-209,共6页Mathematics in Practice and Theory

基　　金：云南省应用基础研究项目(2017FD140);国家地区自然科学基金(11161025)

摘　　要：定义了一类广义正线性集，它是增广对偶锥的推广．利用广义正线性集中元素定义了一类单调次线性函数，并研究了这类函数的相关性质．In this thesis, we define a kind of generalized positive linear sets, which is a generalization of the dual cones. By using elements of generalized positive linear sets, we give the notion of monotonically increasing sublinear function and study the properties of these functions.

关 键 词：广义正线性集 次线性函数 Bishop—phelps锥 

分 类 号：O177.91[理学—数学]