广义不变凸分式规划的Mond-Weir对偶定理  

Mmond-Weir Duality Theorems for Generalized Invexity Fractional Programming

作　　者：张钟德[1] 刘素蓉[1] 

机构地区：[1]湖南信息职业技术学院,湖南长沙410200

出　　处：《吉林师范大学学报（自然科学版）》2008年第4期38-40,共3页Journal of Jilin Normal University:Natural Science Edition

摘　　要：本文对不变凸函数概念推广,引入了一类更为广泛的广义不变凸性概念,并证明了在该类新广义不变凸性条件下,一类非凸非线性分式规划的Mond-Weir对偶的弱对偶、强对偶和逆对偶定理.In this paper,a class of new generalized invexity concept is defmed on basis of[ 1 ] ,and then Mond-Weir duality theorems with the weakduality theorems, strong duality theorem and converse duality theorem are proved under this new generalized invexity condition for a classof nonconvex nonlinear fractional programming.

关 键 词：广义不变凸 非线性分式规划 MOND-WEIR对偶 最优解 

分 类 号：O174[理学—数学]