In the framework of locally convex topological vector space,the scalarization theorem,Kuhn-Tucker conditions as well as the duality theorem and the saddle points theorem on Henig proper efficient solutions with respect to the base for vector optimization involving arcwise connected convex maps are established separately.
在局部凸拓扑向量空间中,建立了弧连通凸映射向量优化问题关于基的Henig真有效解的标量化定理、Kuhn-Tucker条件、对偶性定理以及鞍点定理。
In this paper, the concept of the arcwise connected convex set-valued maps is introduced in topological spaces and a theorem of alternative established.
在拓扑向量空间中引入弧连通凸集值映射的概念 ,建立了择一定理 ,证明了标量化定理和La grange乘子定理。
Research on arc joining programmed technics;
圆弧连接程序化绘制技术的研究
In R~n spaces,we study optimality sufficient conditions and dual model for non-convex maximum and minimal fractional problems,under arcwise connectedness and generalized arcwise connectedness assumptions.
通过引入广义弧连通概念,在R~n空间中,研究极大极小非凸分式规划问题的最优性充分条件及其对偶问题。
We introduce the definition of arcwise connected function on arcwise connected set SR~n and give the related concepts of generalized arcwise connected functions,which satisfy the global optimality.
介绍在弧连通集S Rn上的实值函数f:S→R是弧连通函数的定义,给出相关的广义弧连通函数概念。
In this paper, we show that under the condition that the minimum degree is at least 3, the iterated line digraph of a super-arc-connected digraph is super-connected.
本文证明了,在最小度至少为3的前提下超弧连通有向图的迭代线图是超点连通的。
The super arc connectivity properties of a digraph X can be measured by the restricted arc connectivity λ′(X).
有向图X的超弧连通性可以用严格弧连通度λ′(X)来表示 。
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