| 引用本文： |
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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. [点击复制]
- CHAO Mian-tao,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. [点击复制]
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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. |
| 关键词: 凸函数 零集拟凸函数 零集拟凸规划 最优性条件 |
| DOI： |
| 投稿时间：2008-01-17 |
| 基金项目: |
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| Zero-set Quasi-convex Functions and the Optimality Conditions of Zero-set Quasi-convex Programming |
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CHAO Mian-tao1, LIANG Dong-ying2
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| (1.Department of Mathematics and Computer Science, Guangxi College of Education, Nanning, Guangxi, 530023, China;2.Guangxi Vocational and Technical College of Communications, Nanning, Guangxi, 530004, China) |
| 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. |
| Key words: convex function zero-set quasi-convex function zero-set quasi-convex programming optimality condit |
