摘要
利用Minch对称梯度,提出了几个非可微(对称可微)广义(h,)—凸函数的概念,并在,是严格递增连续函数和(0)=0这相当弱的假设条件下,给出了广义(h,)—凸半无限规划的一些最优性充分条件。
In this paper,the concepts of nondifferentiable (symmetrically differentiable )generalized (h, )-convex are presented by using symmetric gradient.Under weak assumptions that (α) is strictly increasing continuous function and (0) = 0,some optimality sufficient conditions are given for generallied (h, ) -convex semi-infinite programming problems.
出处
《延安大学学报(自然科学版)》
1999年第2期1-5,共5页
Journal of Yan'an University:Natural Science Edition
基金
陕西省自然科学基金
陕西省教委专项科研基金
关键词
对称梯度
凸函数
半无限规划
充分条件
凸规划
symmtric gradient
(h, ■)_s-convex function
semi-infinite programming
sufficient condition
generalized algebraic operation