可凸化因子与Mond-Weir型对偶

Convexifactors and the Mond-Weir Duality

利用可凸化因子的定义和性质,建立了一类不可微数学规划的Mond Weir型对偶,在广义凸性条件下,证明了弱对偶定理和强对偶定理,并通过具体例子说明,本文建立的对偶模型不能被简化为传统形式.

Using the definition and properties of the convexifactors, the Mond-Weir dual problem is constructed, the weak dual theorem and strong dual theorem are proved under some convexity conditions, and a example indicates that the dual problem in this paper can not be simplified.