| 约束向量优化问题的Fenchel-Lagrange对偶及鞍点 |
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| 引用本文： | 赵培,李声杰.约束向量优化问题的Fenchel-Lagrange对偶及鞍点[J].数学研究及应用,2011,31(1):157-164. |
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| 作者姓名： | 赵培 李声杰 |
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| 作者单位： | 重庆大学数学与统计学院, 重庆 400030;重庆大学数学与统计学院, 重庆 400030 |
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| 基金项目： | 国家自然科学基金(Grant No.10871216),重庆大学211工程三期创新人才培养计划建设项目(Grant No.S-0911). |
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| 摘 要： | The aim of this paper is to apply a perturbation approach to deal with Fenchel- Lagrange duality based on weak efficiency to a constrained vector optimization problem. Under the stability criterion, some relationships between the solutions of primal problem and the Fenchel-Lagrange duality are discussed. Moreover, under the same condition, two saddle-points theorems are proved.
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| 关 键 词： | Vector optimization Fenchel-Lagrange duality saddle-points weak efficiency. |
| 收稿时间： | 2009/1/13 0:00:00 |
| 修稿时间： | 2010/1/26 0:00:00 |
Fenchel-Lagrange Duality and Saddle-Points for Constrained Vector Optimization |
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| Pei ZHAO and Sheng Jie LI.Fenchel-Lagrange Duality and Saddle-Points for Constrained Vector Optimization[J].Journal of Mathematical Research with Applications,2011,31(1):157-164. |
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| Authors: | Pei ZHAO and Sheng Jie LI |
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| Institution: | College of Mathematics and Statistics,Chongqing University,Chongqing 401331,P.R.China |
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| Abstract: | The aim of this paper is to apply a perturbation approach to deal with Fenchel-Lagrange duality based on weak efficiency to a constrained vector optimization problem. Under the stability criterion, some relationships between the solutions of primal problem and the Fenchel-Lagrange duality are discussed. Moreover, under the same condition, two saddle-points theorems are proved. |
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| Keywords: | Vector optimization Fenchel-Lagrange duality saddle-points weak efficiency |
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