| 零集拟凸函数和零集拟凸规划的最优性条件 |
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| 引用本文： | 晁绵涛,梁东颖.零集拟凸函数和零集拟凸规划的最优性条件[J].广西科学,2008,15(3):263-265. |
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| 作者姓名： | 晁绵涛 梁东颖 |
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| 作者单位： | 1. 广西教育学院数学与计算机科学系,广西南宁,530023
2. 广西交通职业技术学院,广西南宁,530023 |
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| 摘 要： | 定义一种广义凸函数:零集拟凸函数,讨论其相关性质,并结合函数性质给出零集拟凸不等式约束规划的最优性条件.
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| 关 键 词： | 凸函数 零集拟凸函数 零集拟凸规划 最优性条件 |
| 收稿时间： | 2008/1/17 0:00:00 |
Zero-set Quasi-convex Functions and the Optimality Conditions of Zero-set Quasi-convex Programming |
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| CHAO Mian-tao and LIANG Dong-ying.Zero-set Quasi-convex Functions and the Optimality Conditions of Zero-set Quasi-convex Programming[J].Guangxi Sciences,2008,15(3):263-265. |
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| Authors: | CHAO Mian-tao and LIANG Dong-ying |
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| Institution: | Department of Mathematics and Computer Science, Guangxi College of Education, Nanning, Guangxi, 530023, China and Guangxi Vocational and Technical College of Communications, Nanning, Guangxi, 530004, China |
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| Abstract: | A new class of generalized convex functions,which are called zero-set quasi-convex functions are defined,and some of their basic properties are discussed.According to the properties of the functions,sufficient optimality conditions for the nonlinear zero-set quasi-convex programming with inequality constraints are given. |
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| Keywords: | convex function zero-set quasi-convex function zero-set quasi-convex programming optimality conditions |
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