| 一类多目标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,冯强.一类多目标半无限分式规划的最优性条件[J].高等学校计算数学学报,2010,32(3). |
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| 作者姓名： | 王荣波 张庆祥 冯强 |
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| 作者单位： | 延安大学数学与计算机科学学院,延安,716000 |
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| 基金项目： | 陕西省教育厅专项科研基金资助课题，延安大学科研基金 |
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| 摘 要： | <正>0引言分式规划作为最优化的一个分支,近年来,获得了很大的发展,如,文4]利用(F,α,ρ,d)-凸函数,文5]利用半局部预不变凸函数等分别讨论了相应的分式规划问题等,这些成果极大地推动了分式规划的发展.
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| 关 键 词： | 方向导数 弱有效解 最优性条件 广义凸函数 半无限分式规划 多目标 局部连通 高等学校 |
OPTIMALITY CONDITIONS FOR A CLASS OF MULTIOBJECTIVE SEMI-INFINITE FRACTIONAL PROGRAMMING |
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| Wang Rongbo,Zhang Qingxiang,Feng Qiang.OPTIMALITY CONDITIONS FOR A CLASS OF MULTIOBJECTIVE SEMI-INFINITE FRACTIONAL PROGRAMMING[J].Numerical Mathematics A Journal of Chinese Universities,2010,32(3). |
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| Authors: | Wang Rongbo Zhang Qingxiang Feng Qiang |
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| Institution: | Wang Rongbo Zhang Qingxiang Feng Qiang (College of Mathematics and Computer Science,Yan'an University,Yan'an 716000) |
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| Abstract: | In this paper we define a new generalized uniform locally connected set and several new nonsmooth generalized uniform locally connected functions by using the right directional derivative.The optimality conditions including Fritz John conditions and Kuhn-Tucker conditions for a class of multiobjective semi-infinite fractional programming involving these new functions are discussed. |
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| Keywords: | generalized uniform locally connected functions multiobjective semi-infinite fractional programming Optimality conditions Efficient solution |
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