ε-严有效点的若干性质(英文)  

Some Properties of ε-Strictly Minimal Efficient Points

作　　者：徐义红[1] 韩倩倩[1] 涂相求[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《应用数学》2013年第4期920-924,共5页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China (10461007);the Natural Science Foundation of Jiangxi Province (20122BAB201003);the Science and Technology Foundation of the Education Department of Jiangxi Province (GJJ12010)

摘　　要：利用基的性质得到ε-严有效点的若干性质.利用凸集分离定理和零点凸邻域的吸收性,在近似锥一次类凸假设下得到标量化定理,推广了现有文献的相应结果.With the properties for the base of a cone,some properties of ε-strictly minimal efficient points are obtained. By applying separation theorem for convex sets and the absorbency of a convex neighbourhood of zero element, a sealarization theorem is established under the assumption of nearly cone-subconvexlikeness. The results obtained improve the corresponding results in the literatures.

关 键 词：ε-严有效点 近似锥一次类凸 基 

分 类 号：O221[理学—运筹学与控制论]