非光滑半无限多目标规划弱非控解的充分性

ON THE SUFFICIENCY OF WEAK NONDOMINATED SOLUTIONS FOR NONSMOOTH MULTIOBJECTIVE SEMI INFINITE PROGRAMMING

本文利用锥次微分的概念，在一点处定义了η—（Ａ，Ｎ）凸函数、η—（Ａ，Ｎ）伪凸函数和η—（Ａ，Ｎ）严格伪凸函数．在相当弱的假设下，在η—（Ａ，Ｎ）意义下，给出了非光滑η—（Ａ，Ｎ）凸半无限多目标规划弱非控解的一些充分条件．

In this paper, using concept of cone subdifferential, η (A,N) convex function, η (A,N) pseudoconvex function, and η (A,N) strictly pseudoconvex function are defined at one point. And then, under weak assumptions, some sufficient conditions of weak nondominated solutions for nonsmooth multiobjective semi infinite programming are given in the sence of η (A,N) .