集值映射的ε-超次梯度（英文）  

ε-super Subgradient for a Set-valued Map

作　　者：徐义红[1] 李敏[1] 张小荣[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《应用数学》2015年第3期574-578,共5页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(61175127);the Natural Science Foundation of Jiangxi Province(20122BAB201003);the Science and Technology Foundation of the Education Department of Jiangxi Province(GJJ12010)

摘　　要：本文提出集值映射的ε-超次梯度概念.在某种假设下,利用凸集分离定理得到ε-超次梯度的存在性定理.给出一个具体例子解释主要结果.The concept of ε-super subgradient for a set-valued map is introduced. Under certain hypothesis, by applying separation theorem for convex sets, the existence theorem for an ε-super subgradient is obtained. An example is given to illustrate the main result.

关 键 词：ε-超有效点 ε-超次梯度 集值映射 

分 类 号：O221.6[理学—运筹学与控制论]