序线性空间中向量优化问题的K-T型定理  

K-T TYPE THEOREMS OF VECTOR OPTIMIZATION PROBLEMS IN ORDER LINEAR SPACES

作　　者：王传涛[1] 李泽民[1] 高利辉 

机构地区：[1]重庆大学数理学院,重庆400044 [2]伊市第一中学,黑龙江伊春153000

出　　处：《经济数学》2006年第3期307-310,共4页Journal of Quantitative Economics

摘　　要：本文在广义凸性条件下,研究实线性空间中一类向量优化问题的最优性条件,我们引入F ritz-John鞍点,、“K-T鞍点”讨论它们与有效解、弱有效解之间的关系.Under the assumption of the generalized convex, this paper studies the optimality conditions for a class of vector optimization problems in the order linear spaces. F-J saddle point and K-T saddle point are introduced, and their relations to the efficient solutions and weak efficient solutions are dieussed.

关 键 词：广义凸函数 鞍点 广义Slater约束条件 有效解 

分 类 号：O224[理学—运筹学与控制论]