| 集值向量优化的二阶最优性必要条件 |
| |
| 引用本文： | 贾继红.集值向量优化的二阶最优性必要条件[J].数学研究及应用,2004,24(2):333-337. |
| |
| 作者姓名： | 贾继红 |
| |
| 作者单位： | 东莞理工学院数学教研室,广东,东莞,523106 |
| |
| 摘 要： | 在赋范空间中给出了集值映射的二阶切集的概念,利用二阶切集,定义了集值映射的二阶切导数。然后,获得了集值向量优化问题弱极小元的两个二阶最优性必要条件。
|
| 关 键 词： | 二阶切集 二阶切导数 弱极小元 |
| 文章编号： | 1000-341X(2004)02-0333-05 |
| 收稿时间： | 2001/11/26 0:00:00 |
| 修稿时间： | 2001年11月26 |
Necessary Conditions for Second-Order Optimality of Vector Optimization of Set-Valued Maps |
| |
| JIA Ji-hong.Necessary Conditions for Second-Order Optimality of Vector Optimization of Set-Valued Maps[J].Journal of Mathematical Research with Applications,2004,24(2):333-337. |
| |
| Authors: | JIA Ji-hong |
| |
| Institution: | Dongguan University of Technology; Guangdong; China |
| |
| Abstract: | In this paper, the concept of second--order tangent set of set-valued maps is given in the Euclidean space. Based on the second--order tangent set , the second-order tangent derivative of set--valued maps is defined. Then, two necessary conditions for second-order optimality for the weak minimal in the vector optimization of set-valued maps are obtained. |
| |
| Keywords: | second-order tangent set second-order tangent derivative weak minimal |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
