| 一类不可微广义分式规划的Kuhn-Tucker型必要条件 |
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| 引用本文： | 王兴国.一类不可微广义分式规划的Kuhn-Tucker型必要条件[J].内蒙古师范大学学报(自然科学版),2008,37(1):11-14. |
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| 作者姓名： | 王兴国 |
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| 作者单位： | 温州大学瓯江学院,浙江温州325400 |
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| 摘 要： | 在Arrow-Hurwicz-Uzawa约束品性下,给出一类目标函数的分子分母是可微函数与凸函数之和差的广义分式规划问题的Kuhn-Tucker型必要条件,并给出其特例(目标函数中含支撑函数)的Kuhn-Tucker型必要条件.所提出的问题及所得结果相对现有文献更具一般性.
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| 关 键 词： | 广义分式规划 Arrow-Hurwicz-Uzawa约束品性 Kuhn-Tucker型必要条件 |
| 文章编号： | 1001-8735（2008）01-0010-04 |
| 收稿时间： | 2007-02-08 |
| 修稿时间： | 2007年2月8日 |
The Kuhn-Tucker Type Necessary Conditions for A Class of Nondifferentiable Generalized Fractional Programming |
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| WANG Xing-guo.The Kuhn-Tucker Type Necessary Conditions for A Class of Nondifferentiable Generalized Fractional Programming[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2008,37(1):11-14. |
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| Authors: | WANG Xing-guo |
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| Abstract: | The Kuhn-Tucker type necessary conditions are presented under the Arrow-Hurwicz-Uzawa constraint qualification for a class of nondifferentiable generalized fractional programming problem, in which both the numerator and the denominator of the objective function are consisted of the differentiable function and the convex function. The special case of the Kuhn-Tucker type necessary conditions with support function in the objective function are also given. The problem and the results in this paper are more general than the relevant ones appeared before. |
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| Keywords: | generalized fractional programming Arrow-Hurwicz-Uzawaconstraint qualification Kuhn-Tucker type necessary condition |
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