极小极大分式规划的高阶对偶性
Higher Order Duality for Minimax Fractional Programming
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摘要: 文章首先引入极小极大分式规划问题的一个最优性必要条件,给出高阶η-不变凸函数和高阶η- 不变拟凸函数的定义.然后,建立该分式规划问题高阶对偶模型.最后,在高阶η- 不变凸和高阶q一不变拟凸的条件下讨论该对偶模型的弱对偶和强对偶定理.Abstract: In the present paper,a type of higher order dual model is formulated for minimax fractional programming problem.The concepts of higher order η-invexity and higher order η-quasi-invexity are adopted in order to discuss weak and strong duality theorems.