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1)  strictly efficient points
严有效点
1.
We prove that strictly efficient points are indeed equivalent to Henig proper efficient points.
文章证明了严有效点等价于 Henig真有效点。
2.
In this paper, a few optimatity conditions for strictly efficient points of set valued optimization are presented by using the concept of contingent derivatives of set valued mad.
该文利用集值映射的三种切上导数概念 ,给出了向量集值优化问题中严有效点的最优性条件。
3.
Particularly, we show that in reasonable settings the strictly efficient points of a set are dense in the efficient points.
本文引入一个新的有效点概念一严有效点,它是Borwein超有效点的推广。
2)  strictly efficient point
严有效点
1.
The article testifies two properties of strictly efficient point: The definition of the strictly efficient point is far away from the choose of bounded basis; on the certain condition,the element x of the convex set A is the strictly efficient point if and only if a positive linear functional which can obtain a minimal value on A exists.
 证明了严有效点的两个性质:(1)严有效点的定义与有界基的选择无关;(2)在一定条件下,凸集A的元素x是A的严有效点的充分必要条件是有正线性泛函f(x)在A上取得最小值。
3)  ε-strict efficient points
ε严有效点
1.
In locally-convex topological vector spaces, ε-strict efficient points and ε-strict efficient solutions are introduced.
在局部凸拓扑向量空间中引入了ε严有效点、ε严有效解的概念。
4)  ε-strict efficiency
ε-严有效点
1.
In this paper, we introduce and research systematically ε- strict efficiency and ε- strong efficiency of vector optimization with set-valued maps in locally convex topological spaces.
首先,得到了凸集A的ε-严有效点集和ε-强有效点集的标量化特征,连通性及它们在ε-有效点集中的稠密性结果。
5)  strictly efficient solution
严有效解
1.
Optimality conditions for vector optimization problem to attain strictly efficient solutions are considered in the paper.
本文研究向量优化问题在严有效解意义下的最优性条件。
2.
In this paper a new concept,the strictly efficient solution, is introduced, the Cone-continuous convex map and the connectedness of the set of strictly efficient solution,are studied further.
文中介绍了严有效解的概念,研究了锥—连续拟凸映射的严有效解的连通性。
3.
In this paper, we introduce a new concept the strictly efficient solution.
本文介绍了严有效解的概念,并在[1]工作的基础上进一步研究了锥连续拟凸映射的严有效的连通性。
6)  strict efficiency
严有效性
1.
The set-valued optimization problem with constraints(SOP) is considered in the sense of strict efficiency in Hausdorff locally convex linear topological spaces.
在Hausdorff局部凸拓扑线性空间中考虑约束集值优化问题的严有效性。
2.
The set-valued optimization problem with constraints VP is considered in the sense of strict efficiency in Hausdorff locally convex and topological linear spaces.
在Hausdorff局部凸拓扑线性空间中考虑约束集值优化问题(VP)在严有效性意义下的标量化问题,给出了VP在严有效性意义下的一种等价刻画。
3.
We extend the definition of strict efficiency to vector optimization with set valued maps,and research its character in a systematic way.
将严有效性概念推广到集值映射向量优化问题,并较为系统地研究了它的性质,获得了有关标量化、 Lagrange 乘子、 Lagrange 型对偶及严有效点集的连通性、稠密性等方面的几个结
补充资料:严三点
严三点 严三点   宋代医家。江西人。其真名佚,因精于脉学,以三指诊脉,即能诉受病之源,人咸以“严三点”称之。著有《脉法撮要》一卷,现国内未见行世。
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