1) generalized Aconvexity
广义∧-凸性
2) Generalized Convexity
广义凸性
1.
Optimality Condition and Duality Results for a Class of Multi-objective Fractional Programming Problems with Generalized Convexity;
广义凸性条件下一类多目标分式规划问题的最优性条件和对偶
2.
Generalized increasing-decreasing functions and generalized convexity of the compound functions;
广义递增-递减函数与复合函数的广义凸性
3.
Weak duality theorem is established under generalized convexity conditions.
在广义凸性条件下,建立了弱对偶性定理。
3) Generalized pseudoconvexity
广义伪凸性
4) generalized strongly convex
广义强凸性
5) generalized modulus of convexity
广义凸性模
1.
By the study of the relationship between generalized modulus of convexity and the coefficient of weak orthogonality,sufficient condition for Banach space X have uniform normal structure is obtained,which imply the single valued nonexpansive mapping to have fixed point,moreover which also imply the multivalued nonexpansive mapping to have fixed point.
通过对广义凸性模与弱正交系数关系的研究,得到了Banach空间具有一致正规结构的充分条件,从而得到了Banach空间上的单值非扩张映射存在不动点的充分条件,并且证明了上述条件同样使得Banach空间上的集值非扩张映射也存在不动点。
6) generalized essentially pseudo convex
广义本性伪凸
1.
The sufficient optimal conditions and duality results are obtained for a multiobjective programming problem involving generalized essentially pseudo convex functions.
对Lipschitz函数定义了广义本性伪凸的概念,并对包含这类广义凸函数的多目标Lipschitz规划建立了Mond Weir型对偶和Wolf型对偶,证明了原规划与对偶规划之间的对偶定理。
2.
In this paper,a class of Lipschitz functions called generalized essentially pseudo convex is introduced.
对Lipschitz函数定义了广义本性伪凸的概念,并对包含这类广义凸函数的多目标Lips chitz规划的弱有效解给出了充分条件。
补充资料：凸凸
1.高出貌。
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