| 无限维非光滑向量最优化问题的最优性条件 |
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| 引用本文： | 胡适耕,刘先忠.无限维非光滑向量最优化问题的最优性条件[J].数学杂志,1999,19(4):469-473. |
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| 作者姓名： | 胡适耕 刘先忠 |
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| 作者单位： | 华中理工大学!武汉430074 |
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| 摘 要： | 本文证明了：对于具无限个不等式与不等式约束的向量最优化问题，在一定条件下，用Ｃｌａｒｋｅ次微分表达的某种Ｆｒｉｔｚ－Ｊｏｈｎ型定理成立。
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| 关 键 词： | 向量最优化 最优性条件 非光滑最优化 无限维 |
AN OTTIMALITY CONDITION FOR INFINITE DIMENSIONAL NONSMOOTH VECTOR OPTIMIZATION PROBLEMS |
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| Hu Shigeng.AN OTTIMALITY CONDITION FOR INFINITE DIMENSIONAL NONSMOOTH VECTOR OPTIMIZATION PROBLEMS[J].Journal of Mathematics,1999,19(4):469-473. |
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| Authors: | Hu Shigeng |
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| Abstract: | In this paper,we prove the following result:For vector optimization problems with infinitely many inequality and equality constraints,under certain conditions,some Fritz John type theorem can be established by using Clarke subdifferentials. |
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| Keywords: | Vector optimization Optimality condition Clarke subdifferential |
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