(h,φ)-不变凸半无限规划的鞍点  

Saddle of Semi-Infinite Programming with (h,φ) Invex Function

作　　者：李向有[1] 张庆祥[1] 

机构地区：[1]延安大学数学与计算机学院,陕西延安716000

出　　处：《贵州大学学报（自然科学版）》2010年第6期5-7,21,共4页Journal of Guizhou University:Natural Sciences

基　　金：国家自然科学基金(60873099);延安大学科研基金(YDK2004-196)

摘　　要：本文利用Ben-Tal广义代数运算,定义了一类(h,φ)-ρ不变凸函数,研究了涉及此类函数的半无限规划,讨论了不完全Lagrange函数的鞍点条件,在更弱的凸性下,得到了几个鞍点条件。Based on Ben-tal generalized algebraic operation,a class of（h,φ）-ρ invex function was defined,semi-Infinite programming involving this kind of function was researched,and saddle condition of incomplete Lagrange function was discussed.Several important saddle conditions were obtained under weker convexity.

关 键 词：广义代数运算 (h φ)-ρ不变凸函数 多目标 不完全Lagrange函数 鞍点 

分 类 号：O221.2[理学—运筹学与控制论]