一类多目标半无限规划的最优性与对偶性

Optimality and Duality for a Class of Multiobjective Semi-Infinite Programming

给出了一类新的广义一致伪拟(F,α,ρ,d)-I型凸函数,利用这类新的广义凸函数,得到了涉及广义一致强伪拟、弱严格伪拟、弱伪拟以及伪拟(F,α,ρ,d)-I型凸函数的多目标半无限规划的最优性条件.同时给出了Mond-Weir与Wolfe型混合对偶模型,得到了涉及广义一致伪拟、严格伪拟(F,α,ρ,d)-I型凸函数的多目标半无限规划的弱对偶定理.

A class of new generalized uniform pseudoquasi(F,α,ρ,d)-Itype function are given.The optimality conditions for a class of multiobjective semi-infinite programming are obtained involving generalized uniform strong pseudoquasi,weak strictly pseudoquasi,weak pseudoquasi and pseudoquasi(F,α,ρ,d)-I type function.The mixed type duality model for the multiobjective semi-infinite programming problem are formulated and weak mixed type duality theorems are established relating generalized uniform pseudoquasi,strictly pseudoquasi weak(F,α,ρ,d)-I type function.