(C,α,ρ,d)-V-凸多目标变分问题的混合对偶性

Mixed type duality for multiobjective variational problems involving(C,α,ρ,d)-V-convexity

给出一类多目标变分问题的混合对偶,使得Wolfe型对偶和Mond-Weir型对偶是其特殊情况,并在(C,α,ρ,d)-V-凸性下建立多目标变分问题关于有效解的混合对偶理论。

A mixed type duality for a class of multiobjective variational problems was first formulated , making Wolfe and Mond-Weir type duals special cases .Under the （ C,α,ρ,d）-V-convexity on the functions invo-lved, we established duality theorems by using the concept of efficiency .