Conjugate duality for set-valued optimization of Benson efficiency

机译：共轭二元性，用于Benson效率的设定值优化

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摘要

The purpose of this paper is to present some results for Lagrange-Fenchel dualities, via a perturbation approach and a conjugate mapping for the set-valued optimization which is under the assumption of Benson efficiency.

机译：本文的目的是通过扰动方法和集合映射为Lagrange-Fenchel二元性提供一些结果，以及在Benson效率的假设下的设定值优化的共轭映射。

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《International Conference on Manufacturing Science and Engineering》|2013年||共6页
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作者
Guoqin Xing; Shihuang Hong; Xiuli Xing;
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中图分类 TB3-532;
关键词
conjugate duality; set-valued optimization; Benson efficiency.;

机译：共轭二元性;集价优化;Benson效率。;

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专利

1. Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency [J] . QilinWang, GuolinYu Abstract and applied analysis . 2011,第1期

机译：Benson真效率下集值优化问题的二阶最优性条件
2. Benson proper efficiency for vector optimization of generalized subconvexlike set-valued maps in ordered linear spaces [J] . 周志昂上海大学学报：英文版 . 2010,第005期

机译：Benson适当效率，用于有序线性空间中的广义次凸类集值映射的向量优化
3. Benson proper efficiency for vector optimization of generalized subconvexlike set-valued maps in ordered linear spaces [J] . ZHOU Zhi-ang 上海大学学报（英文版） . 2010,第005期

机译：Benson适当效率，用于有序线性空间中的广义次凸类集值映射的向量优化
4. Conjugate duality for set-valued optimization of Benson efficiency [C] . Guoqin Xing, Shihuang Hong, Xiuli Xing International Conference on Manufacturing Science and Engineering . 2013

机译：共轭二元性，用于Benson效率的设定值优化
5. Analysis of Individual, Combined and 2-Step Variation In Induction System of an IC Engine to Optimize Performance and Fuel Efficiency [D] . Sawant, Pauras. 2018

机译：IC发动机诱导系统中个体，合成和2步变化分析优化性能和燃油效率
6. ϵ-Henig Saddle Points and Duality of Set-Valued Optimization Problems in Real Linear Spaces [O] . Zhi-Ang Zhou 2013

机译：Real-Henig鞍点与实线性空间中集值优化问题的对偶
7. Strict Benson proper-ε-efficiency in vector optimization with set-valued maps [O] . Suneja Kaur Surjeet, Sharma_ Megha 2015

机译：使用集值映射的向量优化中的严格Benson正ε-效率

Conjugate duality for set-valued optimization of Benson efficiency

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