| 具有算子约束的Lipschitz规划的最优性条件 |
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| 引用本文： | 周厚春. 具有算子约束的Lipschitz规划的最优性条件[J]. 运筹学学报, 1999, 3(1): 43-47 |
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| 作者姓名： | 周厚春 |
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| 作者单位： | 临沂师专数学系!山东临沂，276005 |
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| 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．
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| 关 键 词： | Lipschitz规划 广义伪凸函数 Clarke方向导数 |
The Optimality Conditions forthe Mathematical Programming with Costraint Operators |
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| HOUCHUN ZHOU. The Optimality Conditions forthe Mathematical Programming with Costraint Operators[J]. OR Transactions, 1999, 3(1): 43-47 |
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| Authors: | HOUCHUN ZHOU |
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| Abstract: | 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. |
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| Keywords: | Lipschitz programming generalized pse-convex function clarke directional derivatives |
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