广义(F,α,ρ,d)-凸性条件下非线性多目标规划K—T条件的充分性和对偶

K—T Sufficient conditions and duality for a class of nonlinear multiobjective programming problems under the generalized (F,α,ρ,d)-convex

利用亚线性函数和广义 (F ,α ,ρ ,d) 凸性的概念 ,给出了一类非线性多目标规划K—T条件的充分性和对偶结果 .并使得在伪凸、拟凸或一般F 凸下的结果均为该情况下的特例 .

K-T sufficient conditions and duality results are presented for a class of nonlinear multiobjective programming problems. These results are based on the properties of sublinear functionals and generalized (F,α,ρ,d)-convex functions. Furthermore, the-vconvex and F-convex are the special examples over (F,α,ρ,d)-convex.