(F,α,ρ,d)-凸性下的非光滑多目标分式规划问题的对偶

Duality for Nonsmooth Multiobjective Fractional Programming Problem with( F,α,ρ,d)-convexity

在(F,α,ρ,d)-凸性条件下,研究了一类非光滑多目标分式规划问题的对偶问题,给出并证明了该对偶问题的弱对偶定理,强对偶定理和严格逆对偶定理.所得结论改进和推广了相关的结果.

In this paper , a dual problem for a class of nonsmooth multiobjective fractional programming problem with （ F,α,ρ,d）-convexity is studied ,and weak duality theorems, strong duality theorems and strict converse duality theorems for the class of dual problem are obtained and proved .The related results of [6] are generalized and improved .