一类广义凸多目标分式规划的最优性条件和对偶

Optimality Conditions and Duality for a Class of Generalized Convex Multi-objective Fractional Programming Problems

考虑一类非光滑多目标分式规划问题,问题中所出现的函数是局部Lipschitz的.对该类多目标分式规划问题,引入了广义非光滑B-(p,r)-不变凸函数的概念,讨论有效解的最优性条件.构造该类问题的对偶模型,并证明了相应的对偶定理.

In this paper, a class of non-smooth multi-objective fractional programming problems in which functions are locally Lipschitz are considered. For this class of multi-objective fractional programming problems the concept of Nonsmooth B-（p, r）-Invex Functions is introduced, and the sufficient optimality conditions for an efficient solution are discussed. Moreover, a duality model of this problem is constructed and appropriate duality theorems are proved.