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锥拟凸集值映射与集值映射的锥半连续性
引用本文:施绍萍,刘玉兰,梅家骝. 锥拟凸集值映射与集值映射的锥半连续性[J]. 应用数学学报, 2006, 29(4): 681-687
作者姓名:施绍萍  刘玉兰  梅家骝
作者单位:1. 南昌大学数学系,南昌,330047
2. 广东工业大学应用数学系,广州,510090
3. 南昌大学数学与系统科学系,南昌,330047
基金项目:南昌大学校科研和教改项目
摘    要:本文借助锥界集定义了一种新的锥拟凸集值映射,并且利用广义Minkowski泛函讨论了锥半连续及锥外上半连续集值映射的锥拟凸性.

关 键 词:锥拟凸集值映射  锥半连续  锥外上半连续  广义Minkowski泛函
收稿时间:2004-10-20
修稿时间:2004-10-202006-06-06

Cone Quasiconvex Set-Valued Mapping and Cone Semicontinuity of Set-Valued Mapping
SHI SHAOPING,LIU YULAN,MEI JIALIU. Cone Quasiconvex Set-Valued Mapping and Cone Semicontinuity of Set-Valued Mapping[J]. Acta Mathematicae Applicatae Sinica, 2006, 29(4): 681-687
Authors:SHI SHAOPING  LIU YULAN  MEI JIALIU
Affiliation:1.Department of Mathematics, Nanchang University, Nanchang 330047;2.Department of mathematics, Guangdong Industry Academy, Guangzhou 510090;3.Department of mathematics, Nanchang University, Nanchang 330047
Abstract:We define a new kind of cone quasiconvex set-valued mapping.Cone quasicon- vexities of set-valued mapping with cone semicontinuity and cone external upper semicon- tinuity are obtained by using generalized minkowski function.
Keywords:cone quasiconvex set-valued mapping  cone semicontinuous  cone external upper semicontinuous  generalized Minkowski function
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