一类非凸非线性分式规划的对偶性

Duality for a Class of Nonconvex Nonlinear Fractional Programming

对广义不变凸性条件进行推广,引入了几类更为广泛的广义不变凸性概念,并证明了在这几类新广义不变凸性条件下,一类非凸非线性分式规划的弱对偶定理、强对偶定理和逆对偶定理.所得结果涵盖并推广了有关已知的对偶性定理.

In this paper,several classes of new generalized invexity concepts are defined,and some duality theorems with the weak duality theorem? strong duality theorem and converse duality theorem are proved.The results extend relative known duality theorems.