| 一类极大极小半无限分式规划的最优性条件 |
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| 引用本文： | 王荣波,张庆祥.一类极大极小半无限分式规划的最优性条件[J].西北大学学报,2012(3):370-372. |
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| 作者姓名： | 王荣波 张庆祥 |
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| 作者单位： | 延安大学数学与计算机科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(10901128);陕西省教育厅科研基金资助项目(12JK0867);延安大学科研基金资助项目(YD2010-09) |
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| 摘 要： | 目的给出一类极大极小半无限分式规划的最优性条件包括Kuhn-Tucker条件。方法利用Clarke-广义方向导数定义了一类新的广义一致Bρ-(p,r)-不变凸函数,并讨论了具有该广义凸性的一类极大极小半无限分式规划的最优性条件。结果在新的广义凸函数的约束下,得到了一类极大极小半无限分式规划的最优性条件。结论扩展了极大极小半无限分式规划的最优性理论。
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| 关 键 词： | 广义一致Bρ-(p r)-不变凸函数 极大极小半无限分式规划 最优性条件 有效解 |
Optimality conditions for a class of min-max semi-infinite fractional programming |
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| WANG Rong-bo,ZHANG Qing-xiang.Optimality conditions for a class of min-max semi-infinite fractional programming[J].Journal of Northwest University(Natural Science Edition),2012(3):370-372. |
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| Authors: | WANG Rong-bo ZHANG Qing-xiang |
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| Institution: | (School of Mathematics and Computer Science,Yan′an University,Yan′an 716000,China) |
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| Abstract: | Aim To obtain the optimality conditions of min-max semi-infinite fractional programming,including Kuhn-Tueker conditions.Methods A class of a new generalized uniform Bρ-(p,r)-invexity is given by using Clarke directional derivative,the optimality conditions about a class of min-max semi-infinite factional programming are studied.Results The optimality conditions about a class of min-max semi-infinite factional programming are obtained under the new generalized invexity functions.Conclusion Optimality theorem of min-max semi-infinite factional programming is improved and supplemented. |
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| Keywords: | generalized uniform Bρ-(p r)-invexity min-max semi-infinite factional programming optimality conditions efficient solution |
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