| 非光滑离散Minimax问题的优性充分条件 |
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| 引用本文： | 李宏伟,游兆永.非光滑离散Minimax问题的优性充分条件[J].信阳师范学院学报(自然科学版),1993,6(3):251-257. |
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| 作者姓名： | 李宏伟 游兆永 |
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| 作者单位： | 信阳师院数学系 464000
(李宏伟)，西安交通大学数学系 110049(游兆永) |
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| 摘 要： | 本文在引入非光滑Lipschitz函数的广义凸性基础上给出了非光滑离散minimax问题的Fritz—Jomn与Kuhn—Tucker充分条件.特别地,也就给出了Lipschitz规划的Fritz—John与Kuhn—Tucker充分条件.本文结论包含或推广了光滑非线性规划与非光滑Lipschitz规划的一系列结论.
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| 关 键 词： | 离散 最小最大问题 非线性规划 |
Sufficient Optimality Conditions for Nonsmooth Discrete Minimax Problem |
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| Li Hongwei YouZhaoyong.Sufficient Optimality Conditions for Nonsmooth Discrete Minimax Problem[J].Journal of Xinyang Teachers College(Natural Science Edition),1993,6(3):251-257. |
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| Authors: | Li Hongwei YouZhaoyong |
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| Institution: | Li Hongwei YouZhaoyong
(Xinyang Teacher's College) (Xi'an Jiaotong University) |
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| Abstract: | In this paper, under some generalized nonsmooth convexity assumptions. Fritz-John and Kuhn-Tucker sufficient conditions for nonsmooth discrete minimax problem are estab-lished. As special case. Fritz-John and Kuhn-Tucker sufficient conditions for Lipschitz programming are given. Our results contain or generalize the mairi results on smooth nonlin-ear programming in 1]-3],and the results on Lipschitz programming in4]. |
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| Keywords: | Discrete minimax problem Fritz-John condition Kuhn-Tucker condition |
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