V_ρ-I型不变凸多目标规划的最优性

Optimality of Multiple-objective Programming with V_ρ-I Type Invex Function

本文在I型不变凸函数和V-ρ不变凸函数的基础上,定义了一类Vρ-I型不变凸、Vρ-I型不变拟凸、Vρ-I型不变伪凸、Vρ-I型不变拟伪凸函数,研究了涉及这类函数的多目标规划的最优性条件,在更弱的凸性下,获得了一些重要的结果。

Based on the first class invex function and V-ρ invex function,a class of Vρ-Ⅰ type invex, Vρ-Ⅰ type quasi-invex,Vρ-Ⅰ type pseudo-invex, Vρ-Ⅰ type quasi-pseudo-invex functions were defined, optimality of multiple-objective programming involving these kinds of function was researched, many important conclusions were obtained under weker convexity.