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1)  strong alternatives
强择一性定理
2)  alternative theorem
择一性定理
1.
: B- subpseudoconvex set- valued map is defined ,and its alternative theorem is given.
本文定义了 B-次似凸集值映射,给出了择一性定理 。
2.
In this paper,we introduceα-prefunction,then we dicuss the important alternative theorem in the optimization theory.
本文在引入α-预不变凸函数的基础上,讨论了在优化中起重要作用的择一性定理。
3.
Then relative interior is introduced and an alternative theorem of generalized convex set-valued maps is established by using the separation theorem.
引进了相对内部, 应用凸集分离定理建立了一个广义凸集值映射的择一性定理。
3)  weak alternatives
弱择一性定理
4)  alternative theorem
择一定理
1.
Improvement on convexity of set-valued maps and its alternative theorem;
集值映射的凸性推广及其择一定理
2.
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。
3.
In this paper,nearly subconvexlike set-valued maps were introduced and the alternative theorem under its was obtained in locally-convex Hausdorff spaces.
在局部凸Hausdorff空间中,引入了近次似凸集值映射,建立了近次似凸集值映射下的择一定理。
5)  strong uniqueness theorem
强唯一性定理
6)  nonsmooth alternative theorem
非光滑择一性定理
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