1) generalized convexity condition

广义凸性条件
1.
By means of the generalized convexity conditions for Lipschitzs function defined by Clarke generalized gradient, the optimality for nonconvex and nonsmooth multiobjective programming is discussed.
利用Clarke广义梯度定义的Lipschitz函数的广义凸性条件,首先讨论了非凸非光滑多目标规划的最优性,建立了其充分性条件与Kuhn-Tucker型必要条件;然后讨论了非凸非光滑单目标规划的广义Mond-Weir型对偶,建立了相应的弱对偶定理、强对偶定理及逆对偶定理。
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 Aconvexity

广义∧-凸性
4) convexity condition

凸性条件
1.
The extension mode and convexity condition of the added aggregates are established according to the constraint that the surface area of polyhedron must be smaller than the li.
三维骨料任意形状的模拟中,假定同一级配中的骨料粒径呈正态分布,建立了以体积为标度的凸型骨料的生长模式和骨料凸性条件,根据多面体的每个面的面积是否大于限定面积,确定该面是否需要延拓,同时以延生点与延伸面以外的所有边界面组成的体积都应该大于零作为凸性限定条件。
2.
Based on Gaussian curvature symbols, the convexity of rectangular Bzier surfaces are discussed, and the convexity condition are given by the Bzier point.
根据Gauss曲率的符号,讨论了矩形域上B啨zier曲面片的凸性,得出用B啨zier点表示的凸性条
5) Generalized pseudoconvexity

广义伪凸性
6) generalized strongly convex

广义强凸性
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