1) weakly near convexity
弱近似凸性
1.
We research on describing preinvexity of functions in this paper by means of the density and weakly near convexity in the set.
利用集合的稠密性和弱近似凸性,进一步刻画函数的预不变凸性。
2) weak) nearly convex sets
(弱)近似凸集
3) (weak)nearly convex sets
(弱)似凸集近
4) nearly cone-subconvexlikeness
近似锥-次类凸性
1.
The nearly cone-subconvexlikeness of set-value maps is a very important generalized convexity in optimization theory,this note obtained th.
近似锥-次类凸性是比凸性更弱的一类重要的广义凸性,在集值映射的近似锥-次类凸性条件下,利用凸集分离定理得到了严有效性和强有效性等价这一结论,从而推广了严有效点集和强有效点集对凸集而言相等的结果,所得结果丰富了优化理论的内容。
5) nearly cone-convexlike
近似锥似凸
1.
In this paper the concept of nearly cone-convexlike set-valued maps is presented and a theorem of alternative for the system of nearly cone-convexlike set-valued maps is established in the real linear topological vector spaces.
文章首先引进了近似锥似凸集值映射的概念,并在实拓扑向量空间中建立了近似锥似凸集值映射的择一性定理,获得了近似锥似凸集值映射向量优化问题的最有性充要条件,最后给出了对偶问题并推导了对偶定理。
6) upper convex approximation
上凸近似
1.
A recession function of a positively homogenous function can be presented as an upper convex approximation,which can be used to study the optimality conditions of a class of nonsmooth optimization—directionally differentiable optimization.
对于一般的非凸函数,其方向导数不具备任何凸性,可以利用一般正齐次函数的回收函数来给出它的一个上凸近似。
补充资料：凸凸
1.高出貌。
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