陈凌蕙, 邱根胜, 徐伟. 极小极大分式规划的高阶对偶性[J]. 南昌航空大学学报(自然科学版), 2009, 23(1): 52-55.
引用本文: 陈凌蕙, 邱根胜, 徐伟. 极小极大分式规划的高阶对偶性[J]. 南昌航空大学学报(自然科学版), 2009, 23(1): 52-55.
CHEN Ling-hui, QIU Gen-sheng, XU Wei. Higher Order Duality for Minimax Fractional Programming[J]. Journal of nanchang hangkong university(Natural science edition), 2009, 23(1): 52-55.
Citation: CHEN Ling-hui, QIU Gen-sheng, XU Wei. Higher Order Duality for Minimax Fractional Programming[J]. Journal of nanchang hangkong university(Natural science edition), 2009, 23(1): 52-55.

极小极大分式规划的高阶对偶性

Higher Order Duality for Minimax Fractional Programming

  • 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.

     

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