广义K-(F,α,p,d)-B凸半无限多目标规划的Wolfe型对偶问题

摘要

首先在K-(F,α,ρ,d)-B凸函数和广义K-(F,α,ρ,d)-B凸函数概念基础上,建立了一类广义K-(F,α,ρ,d)-B凸半无限多目标规划的Wolfe型对偶问题；然后,在广义K-(F,α,ρ,d)-B凸函数的情形下给出和证明了弱对偶定理、强对偶、限制逆对偶定理和严格逆对偶定理.%In this paper, firstly, Wolfe type dual problems for generalized K-(F,α,ρ,d)-B-convex semi-infinite multiobjective programming are established on the basis of concepts of the K- (F,α,ρ,d)-B-convex function and generalized K-(F,α,ρ, d)-B-convex function. Then, weak duality, strong duality, restricted converse duality and strict converse duality theorems are given and proved involving the generalized K-(F, α,ρ,d)-B-convex functions.