Benson proper efficiency in the nearly cone-subconvexlike vector optimization with set-valued functions

被引：6
|
作者：
Yihong Xu
Sanyang Liu
机构：
[1] Xidian Univ.,Dept. of Appl. Math.
[2] Nanchang Univ.,Dept. of Fundamental Science
来源：
Applied Mathematics-A Journal of Chinese Universities | 2003年 / 18卷 / 1期
关键词：
90C29; nearly cone-subconvexlikeness; convex cones; Benson proper efficiency; Lagrangian multiplier theorem;
D O I：
10.1007/s11766-003-0089-z
中图分类号：
学科分类号：
摘要：
Some properties of convex cones are obtained and are used to derive several equivalent conditions as well as another important property for nearly cone-subconvexlike set-valued functions. Under the assumption of nearly cone-subconvexlikeness, a Lagrangian multiplier theorem on Benson proper efficiency is presented. Related results are generalized.
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页码：95 / 102
页数：7
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