| Benson真有效意义下向量集值优化的广义Fritz John条件 |
| |
| 引用本文： | 盛宝怀,刘三阳.Benson真有效意义下向量集值优化的广义Fritz John条件[J].应用数学和力学,2002,23(12):1289-1295. |
| |
| 作者姓名： | 盛宝怀 刘三阳 |
| |
| 作者单位： | 1.西安电子科技大学应用数学系, 西安 710071; |
| |
| 基金项目： | 国家自然科学基金资助项目 (6 9972 0 36 )，宁波市博士基金资助项目，宁波大学博士后基金资助项目 |
| |
| 摘 要： | 引入了一种有关集值映射的切导数和强、弱*伪凸的概念。借助凸集分离定理及锥分离定理建立了Benson真有效意义下向量集值优化导数型的FritzJohn最优性条件,并对条件的充分性进行了讨论。当特殊到单值映射时这些最优性条件与经典的结果完全吻合。
|
| 关 键 词： | Contingent切锥 集值映射 Benson真有效 Fritz John条件 |
| 文章编号： | 1000-0887(2002)12-1289-07 |
| 收稿时间： | 2000-03-29 |
| 修稿时间： | 2000年3月29日 |
On the Generalized Fritz John Optimality Conditions of Vector Optimization With Set-Valued Maps Under Benson Proper Efficiency |
| |
| SHENG Bao_huai ,LIU San_yang.On the Generalized Fritz John Optimality Conditions of Vector Optimization With Set-Valued Maps Under Benson Proper Efficiency[J].Applied Mathematics and Mechanics,2002,23(12):1289-1295. |
| |
| Authors: | SHENG Bao_huai LIU San_yang |
| |
| Institution: | 1.Department of Applied Mathematics, Xidian University, Xi'an 710071, P R China;2.Institute of Mathematics, Ningbo University, Ningbo, Zhejiang 315211, P R China |
| |
| Abstract: | A kind of tangent derivative and the concepts of strong and weak * pseudoconvexity for a set_valued map are introduced.By the standard separation theorems of the convex sets and cones the optimality Fritz John condition of set_valued optimization under Benson proper efficiency is established,its sufficience is discussed. The form of the optimality conditions obtained here completely tally with the classical results when the set_valued map is specialized to be a single_valued map. |
| |
| Keywords: | Contingent tangent cone set_valued map Benson proper efficiency Fritz John condition |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学》下载免费的PDF全文 |
