具有算子约束的Lipschitz规划的最优性条件  

The Optimality Conditions forthe Mathematical Programming with Costraint Operators

作　　者：周厚春 

机构地区：[1]临沂师专数学系,山东临沂276005

出　　处：《运筹学学报》1999年第1期43-47,共5页Operations Research Transactions

摘　　要：Barbu等人在文[1]中时目标函数和约束算子都是Frechet可微的情况下证明了具有算子约束的数学规划的最优性必要条件．本文将这一问题推广为目标函数为非光滑的情形，给出了具有算子约束的Lipschitz规划的最优性充分条件和必要条件．For the mathmatical programming which objective function and constraint operatorsare Frechet difficielltiable,Barbu et al. had studied the necessary optimality conditions(see[1]). In this paper, we discussed the necessary and sufficient optimality conditions innonsmooth mathmatical programming involving that the objective function is Lipschitzfunction in normed space.

关 键 词：LIPSCHITZ规划 算子约束 最优性条件 数学规划 

分 类 号：O221[理学—运筹学与控制论]