一类广义(h,φ)-不变凸半无限规划解的充分条件  

Sufficient Conditions of Solutions for A Class of Generalized (h,φ) Invex Semi Infinite Programming

作　　者：张庆祥[1] 赵伏有 刘兴祥[1] 

机构地区：[1]延安大学数学与计算机科学系,陕西延安716000 [2]渭南教育学院,陕西渭南714000

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)

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.

关 键 词：(h φ)-不变凸函数 半无限规划 解 充分条件 

分 类 号：O221.2[理学—运筹学与控制论]