E-PROPER SADDLE POINTS AND E-PROPER DUALITY IN VECTOR OPTIMIZATION WITH SET-VALUED MAPS
E-PROPER SADDLE POINTS AND E-PROPER DUALITY IN VECTOR OPTIMIZATION WITH SET-VALUED MAPS
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DOI：
10.11650/tjm.18.2014.3473
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发表时间：
2014-03
影响因子：
0.4
通讯作者：
K. Zhao;Xinmin Yang
中科院分区：
文献类型：
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作者：
K. Zhao;Xinmin Yang
基于一种称为$E$-Benson真有效的统一真有效性，给出了集值映射向量优化问题的$E$-真鞍点定理和$E$-真对偶结果，包括弱对偶和强对偶定理.我们的主要结果统一和推广了真鞍点和真对偶的情形以及真鞍点和真对偶的情形。
In this paper, based on a kind of unified proper efficiency named as $E$-Benson proper efficiency, we present $E$-proper saddle points theorems and $E$-proper duality results including as weak duality and strong duality theorems of vector optimization problems with set-valued maps. Our main results unify and extend the cases of proper saddle points and proper duality as well as $\varepsilon$-proper saddle points and $\varepsilon$-proper duality.