锥拟凸映射  

Cone Qusiconvex Mappings

作　　者：袁德辉[1] 龚海林[2] 刘晓玲[1] 

机构地区：[1]韩山师范学院数学与信息技术学院,广东潮州521041 [2]江西师范大学数学系,江西南昌330027

出　　处：《韩山师范学院学报》2005年第6期1-4,53,共5页Journal of Hanshan Normal University

摘　　要：利用Minkowski泛函,文中定义了一类新的锥拟凸函数(广义锥拟凸,广义严格拟凸和 广义强锥拟凸),获得了相应的性质,讨论了这类映射与以往拟凸映射的关系．With the aid of a Minkowski functional, we introduce a new class of new cone quasiconvexity, i.e., the definition of the generalized cone quasiconvex, the generalized strictly cone quasiconvex and the generalized strongly cone quasiconvex, and get their fundamental properties. Furthermore the relationships between the generalized cone quasiconvex mappings and other known cone quasiconvex mappings are also presented.

关 键 词：锥拟凸 广义锥拟凸 锥有界拟凸 Minbwski泛函 

分 类 号：O224[理学—运筹学与控制论]