| (h,ψ)-数学规划问题的必要条件 |
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| 引用本文： | 徐义红,刘三阳.(h,ψ)-数学规划问题的必要条件[J].运筹学学报,2002,6(4):21-30. |
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| 作者姓名： | 徐义红 刘三阳 |
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| 作者单位： | 1. 南昌大学基础部,南昌,江西,330029
2. 西安电子科技大学应用数学系,西安,710071 |
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| 摘 要： | 给出了（h,ψ）-η伪凸函数的概念，利用Ben-Tal广义代数运算讨论了它与η－伪凸函数之间的关系。当目标函数和约束函数均为（h,ψ）-可微函数时，在广义Slater约束规格下，得到了相应规划问题取得最优解的Kuhn-Tucker必要条件。
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| 关 键 词： | （h ψ）－η伪凸函数 （h ψ）－可微函数 数学规划 Kuhn－Tucker必要条件 |
Necessary Conditions for (h, ψ)- Mathematical Programming |
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| Abstract.Necessary Conditions for (h, ψ)- Mathematical Programming[J].OR Transactions,2002,6(4):21-30. |
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| Authors: | Abstract |
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| Abstract: | The (h, ψ) -η pseudoconvex function is introduced and its relationship to theη-pseudoconvex function is discussed by using Ben-Tal generalized algebraic operations.Under generalized Slater constraint qualification, Kuhn-Tucker necessary conditions forthe mathematical program are established while its objective function and constraintsfunction are both differentiable functions-(h, ψ). |
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| Keywords: | (h (h (h (h math-ematical program Kuhn-Tucker necessary condition |
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