广义不变凸多目标半无限规划的鞍点条件  

Saddle point condition of multiple-objective semi-infinite programming with generalized 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：《应用数学与计算数学学报》2013年第4期501-507,共7页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金资助项目(60873099);延安大学自然科学专项基金资助项目(YDQ2013-07)

摘　　要：利用广义代数运算,定义了一类不变凸函数和不完全向量值Lagrange函数的鞍点,研究了涉及此类函数的多目标半无限规划问题,得到了广义鞍点的必要性和充分性条件.在更弱的凸性条件下,得到了几个重要结果.A class of invex functions and an incomplete vector valued Lagrange saddle point are defined by the Ben-Tal generalized algebraic operation, and the multiple-objective semi-infinite programming involving these invex functions is re- searched. Generalized saddle point necessary conditions and sufficient conditions are obtained, and many important results are obtained under weaker convexity.

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

分 类 号：O221.6[理学—运筹学与控制论] O221.2[理学—数学]