| 广义I型函数的最优性条件 |
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| 引用本文： | 李向有,李丽,侯萍. 广义I型函数的最优性条件[J]. 河南科学, 2014, 0(12): 2423-2426 |
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| 作者姓名： | 李向有 李丽 侯萍 |
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| 作者单位： | 延安大学数学与计算机学院,陕西延安,716000 |
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| 基金项目： | 国家自然科学基金项目(11471007);陕西省教育厅自然科学基金项目(14JK1840) |
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| 摘 要： | 在B-(p,r,a)不变凸函数和I型函数的基础上,定义了一类新的广义凸函数:B-(p,r,a)-I不变凸函数、B-(p,r,a)-I不变伪拟凸函数,研究了涉及此类函数的分式规划,在更弱的凸性下得到了几个最优性条件.
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| 关 键 词： | B-(p,r,a)-I不变凸函数 分式规划 最优性 非光滑 |
Optimality Conditions of Generalized I Type Functions |
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| Li Xiangyou , Li Li , Hou Ping. Optimality Conditions of Generalized I Type Functions[J]. Henan Science, 2014, 0(12): 2423-2426 |
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| Authors: | Li Xiangyou Li Li Hou Ping |
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| Affiliation: | (Institute of Mathematics and Computer Science, Yanan University, Yan＇ an 716000, Shaanxi China) |
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| Abstract: | Based on B-（p,r,a）Invex function and I functions,a class of generalized Invex function,including B-（p,r,a）-I Invex function and B-（p,r,a）- I pseudo- quasi- Invex function,was defined. Fractional programminginvolving these kinds of functions was researched. Several optimality conditions were obtained under weaker convexity. |
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| Keywords: | B-(p,r,a)-I Invex function fractional programming optimality nonsmooth |
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