基于B-(C,α)-Ⅰ型广义凸多目标优化问题的充分条件

Optimality Conditions for a Multiobjective Programming Problem under Generalized B-(C,α)-type Ⅰ Univex Functions

本文给出了B-(C,α)-Ⅰ型广义凸函数和伪拟、强伪拟、弱严格伪拟B-(C,α)-Ⅰ型广义凸函数的定义,讨论了伪拟、强伪拟、弱严格伪拟B-(C,α)-Ⅰ型广义凸函数间的关系,并基于此探讨了一类非光滑多目标优化问题的有效解和弱有效解的最优性充分条件。

In this paper,we introduce the definition of a new generalized class of B-（C,α）-type Ⅰ univex functions,and pseudo-quasi,strong pseudo-quasi,weak strictly quasi-pseudo B-（C,α）-type Ⅰ univex functions,discusse the relationship between them,and establish sufficient optimality conditions for a nonsmooth multiobjective programming.