| Benson真有效意义下集值优化的广义最优性条件 |
| |
| 引用本文： | 盛宝怀,刘三阳.Benson真有效意义下集值优化的广义最优性条件[J].数学学报,2003,46(3):611-620. |
| |
| 作者姓名： | 盛宝怀 刘三阳 |
| |
| 作者单位： | 1. 西南石油学院博士后流动站,南充,637001;宁波大学数学研究所,宁波,315211
2. 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(69972036)，宁波市青年博士基金(02J20102-06)，宁波大学博士后基金资助项目 |
| |
| 摘 要： | 本文引入了关于集值映射的α-阶Clarke切导数、α-阶邻接切导数及α-阶 伴随切导数的概念,借此建立了约束向量集值优化Benson真有效解导数型的Kuhn- Tucker条件.
|
| 关 键 词： | 集值映射 切锥 Benson真有效 Kuhn-Tucker条件 |
| 文章编号： | 0583-1431(2003)03-0611-10 |
| 修稿时间： | 2000年4月29日 |
The Generalized Optimality Conditions of Set-Valued Optimization with Benson Proper Efficiency |
| |
| Bao Huai SHENG.The Generalized Optimality Conditions of Set-Valued Optimization with Benson Proper Efficiency[J].Acta Mathematica Sinica,2003,46(3):611-620. |
| |
| Authors: | Bao Huai SHENG |
| |
| Institution: | Bao Huai SHENG
(Postdoctoral Station of Southwest Petroleum Institute, Nanchong 637001, P. R. China) (Institute of Mathematics, Ningbo University, Ningbo 315211, P. R. China)
San Yang LIU (Department of Applied Mathematics, Xidian University, Xian 710071, P. R. China) |
| |
| Abstract: | The concepts of α-order Clarke tangent derivative, α-order adjacent tangent derivative and α-order contingent derivative for a set-valued map are introduced, and their properties are discussed. Hence the derivative type Kuhn-Tucker optimality condition for constrained vector set-valued optimization with Benson proper efficiency solutions is established. |
| |
| Keywords: | Set-valued map Tangent cone Benson proper efficiency Kuhn-Tucker 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《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
