摘要
利用 Ben- Tal广义代数运算 ,提出了几类广义 (h,φ) -不变凸函数的概念 ,并在φ是严格递增连续函数和φ(0 ) =0相当弱的假设下 ,讨论和得到了一类 (h,φ) -不变凸半无限规划的最优性充分条件 .
In this paper, the concepts of several classes of generalized (h,φ) invex functions are presented by using generalized algebraicoperations. Under the weak assumptions that φ(α) is strictly increasing continuous function and φ(0)=0 ,some optimality sufficient conditions are discussed and obtained for a class of (h,φ ) Invex Semi infinite programming problems.
出处
《延安大学学报(自然科学版)》
2000年第2期12-16,共5页
Journal of Yan'an University:Natural Science Edition
基金
陕西省自然科学基金!(98SL0 7)
陕西省教委专项科研基金资助项目!(98JK0 76)
关键词
(h
φ)-不变凸函数
半无限规划
解
充分条件
h,φ) invex function
semi infinite programming
symmetrically differentiable
sufficient condition
generalized algebraic operation