一类非可微广义分式规划的对偶性

Duality for a Class of Nondifferentiable Generalized Fractional Programming

给出了一类非可微广义分式规划的一个混合型对偶。在广义(F、ρ)-凸性条件下,证明了弱对偶定理、强对偶定理及严格逆对偶定理。所得的结果是对文[4]的改进和推广。

This paper gives one mixed type dual problem for a class of nondifferentiable generalized fractional programmingproblems, and proves weak duality, strong duality, and strict converse duality theorems under the assumptions of generalized(F,ρ) -convexity. The results improve and generalize those in [4].