| 一类非光滑广义分式规划的Kuhn-Tucker型最优性必要条件 |
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| 引用本文： | 吴惠仙,罗和治.一类非光滑广义分式规划的Kuhn-Tucker型最优性必要条件[J].数学研究及应用,2007,27(4):709-714. |
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| 作者姓名： | 吴惠仙 罗和治 |
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| 作者单位： | 1. 杭州电子科技大学数学系,浙江,杭州,310018
2. 浙江工业大学应用数学系,浙江,杭州,310032 |
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| 摘 要： | 考虑一类非线性不等式约束的非光滑minimax分式规划问题;目标函数中的分子是可微函数与凸函数之和形式而分母是可微函数与凸函数之差形式,且约束函数是可微的.在Arrow- Hurwicz-Uzawa约束品性下,给出了这类规划的最优解的Kuhn-Tucker型必要条件.所得结果改进和推广了已有文献中的相应结果.
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| 关 键 词： | 非光滑minimax分式规划 Kuhn-Tucker型必要条件 约束品性. |
| 文章编号： | 1000-341X（2007）04-0709-06 |
| 收稿时间： | 2005/1/26 0:00:00 |
| 修稿时间： | 7/3/2006 12:00:00 AM |
Kuhn-Tucker Type Necessary Optimality Conditions for a Class of Nonsmooth Minimax Fractional Programming |
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| WU Hui-xian and LUO He-zhi.Kuhn-Tucker Type Necessary Optimality Conditions for a Class of Nonsmooth Minimax Fractional Programming[J].Journal of Mathematical Research with Applications,2007,27(4):709-714. |
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| Authors: | WU Hui-xian and LUO He-zhi |
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| Institution: | Department of Mathematics, Hangzhou Dianzi University, Zhejiang 310018, China;Department of Applied Mathematics, Zhejiang University of Technology, Zhejiang 310032, China |
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| Abstract: | In this paper,we consider a class of nonsmooth minimax fractional programming problems with nonlinear inequality constraints,where the numerator in the objective function is in the form of sum of differentiable function and convex function while the denominator is in the form of difference of a differentiable function and a convex function,and the constrained functions are differentiable.The Kuhn-Tucker type necessary optimality conditions for such class of problems are developed under the Arrow-Hurwicz-Uzawa constraint qualification.The results obtained in this paper improve and generalize some existing results in the literature. |
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| Keywords: | nonsmooth minimax fractional programming Kuhn-Tucker type necessary conditions constraint qualification |
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