| Banach广义B-次凸多目标规划的最优性条件 |
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| 引用本文： | 袁旭华.Banach广义B-次凸多目标规划的最优性条件[J].延安大学学报(自然科学版),2010,29(1):22-24. |
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| 作者姓名： | 袁旭华 |
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| 作者单位： | 西北大学,数学系,陕西,西安,710069;延安大学,数学与计算机科学学院,陕西,延安,716000 |
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| 摘 要： | 在B-凸函数和广义次凸函数的基础上引进了一类新的函数广义B-次凸函数,在实Ba-nach空间定义了广义C-B次凸映射,证明了择一定理:即在广义C-B次凸映射的条件下,同样可以得到择一定理中的两个条件有且只有一个成立,并在此基础上得到了一类最优性条件。
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| 关 键 词： | 广义C-B次凸函数 择一定理 最优性条件 |
The Optimality Conditions of the Multiobjective Programming Under Generation B-Subconvex Functions |
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| YUAN Xu-hua.The Optimality Conditions of the Multiobjective Programming Under Generation B-Subconvex Functions[J].Journal of Yan'an University(Natural Science Edition),2010,29(1):22-24. |
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| Authors: | YUAN Xu-hua |
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| Institution: | YUAN Xu-hua1,2 (1.Department of Mathematics,Northwest University,Xian 710069,China,2.College of Mathematics , Computer Science,Yanan University,Yanan 716000,China) |
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| Abstract: | Based on B-vex and generalized subconvex function,a new class of generalized B-subconvex function is introduced.The properties are studied,the alternative theory is proved,the saddle-point type optimality criteria is proved in banach space. |
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| Keywords: | generalized subconvex function alternative theory optimality condition |
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