| 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 |
| 集值向量优化的二阶最优性必要条件 |
| Necessary Conditions for Second-Order Optimality of Vector Optimization of Set-Valued Maps |
| 投稿时间：2001-11-26 |
| DOI：10.3770/j.issn:1000-341X.2004.02.024 |
| 中文关键词: 二阶切集 二阶切导数 弱极小元 |
| 英文关键词:second-order tangent set second-order tangent derivative weak minimal |
| 基金项目: |
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| 摘要点击次数: 2084 |
| 全文下载次数: 1249 |
| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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. |
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