1) subconvexlike
次似凸
1.
For a general multiple-criteria nonlinear fractional programming problem, we propose the saddle-point type optimality criteria and Lagrange duality theorems with subconvexlikeness and generalized subconvexlikeness, in which efficiency is involved.
通过对文献中的择一定理作了一些修改,证明了一个引理,并利用这个引理在次似凸及广义次似凸的条件下,讨论了多目标广义分式规划的有效解,通过对其鞍点型最优性条件以及Lagrange对偶的研究,在更弱的条件下得到了相应的结果。
2.
Then we use subconvexlike and Gateaux differentiable to discuss multiobjective programming in ordered linear spaces.
本文研究多目标以及多目标分式规划的最优性条件,首先是在Banach空间中利用泛函的梯度,讨论分式规划的K-T型条件,推广了文[1]的结果;然后是在序线性拓扑空间中利用次似凸以及G-导数,讨论定义在序线性拓扑空间的多目标规划,得到多目标规划的最优性条件;最后在R n空间中利用G ? ( F ,ρ)凸以及Clarke次梯度讨论多目标分式规划的弱广义Lagrange鞍点,得到弱广义Lagrange鞍点的充要条件。
3.
By using a alternative theorem,the subconvexlike set-valued maps are introduced to investigate the optimality sufficient and necessary conditions of weakly efficient solutions for set-valued vector optimization problems.
文章在序线性空间中,引入了次似凸集值映射的概念,然后利用择一性定理,获得了弱有效解意义下的集值映射向量优化问题的最优性条件,推广了已有文献中的一些相应结果。
2) nearly subconvexlike
近次似凸
1.
In this paper,firstly we have introduced nearly subconvexlike set vaklued map and obtained a series of characterizations about it,lastly we give the proof of the equivalence of subconvexlike set valued map and nearly subconvexlike set valued map in linear topological spaces.
本文在线性拓补空间中 ,首先引进了近次似凸集值映概念 ,并获得了它的一些性质 ,最后我们给出了次似凸、近次似凸集值映射等价性的证明。
2.
The concept of nearly subconvexlike set-valued map is introduced and some important properties of the new concept are obtained in the linear space.
在线性空间中引入近次似凸集值映射概念,获得了它的一些重要性质。
3) generalized subconvexlike
广义次似凸
1.
Optimality condition is established for vector extremum problems with set constraint by applying the alternative theorem under generalized subconvexlike maps in ordered locally-convex Hausdorff spaces.
利用序局部凸Hausdorff空间中的广义次似凸映射下的择一定理,得出带集约束的向量极值问题的最优性条件。
2.
A sufficient and necessary optimality conditions is established for vector extremum problems with set constraint by applying the alternative theorem under generalized subconvexlike maps in orderd locally-convex Hausdorff spaces.
在序局部凸Hausdorff空间中利用广义次似凸映射下的择一定理,得出带集合约束的向量极值问题的一个最优性充要条件。
3.
Firstly, the concept of generalized subconvexlikeness for set valued maps is introduced in this paper.
笔者首先引进了广义次似凸集值映射的概念。
4) cone-subappconvexity
锥次似凸性
5) near-subconvexlikeness
近似次类凸
6) subconvexlikeness
次似凸映射
补充资料：似因
【似因】
（术语）因明三似之一。
（术语）因明三似之一。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条