| 水平函数的存在性 |
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| 引用本文： | 黄龙光,赖国明.水平函数的存在性[J].苏州科技学院学报(自然科学版),2004,21(2):1-4. |
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| 作者姓名： | 黄龙光 赖国明 |
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| 作者单位： | 1. 集美大学基础部,福建,厦门,361021
2. 韩山师范学院,数学系,广东,潮州,521041 |
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| 基金项目： | 国家自然科学基金资助项目(69972036) |
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| 摘 要： | 证明拓扑向量空间上的连续拟凸函数在任何点处的水平函数集非空，得到水平函数的次微分与函数水平集的法向锥之关系，利用水平函数集给出函数存在最小值点的一个充分条件，刻画了某些水平函数的特征。
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| 关 键 词： | 水平函数 次微分 拟凸函数 法向锥 拓扑向量空间 |
Existence on Level Functions of a Function |
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| Abstract.Existence on Level Functions of a Function[J].Journal of University of Science and Technology of Suzhou,2004,21(2):1-4. |
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| Authors: | Abstract |
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| Abstract: | we proposed a level function of a function at a point and studied its existence, presenting the result that set of level functions for continuous quasiconvex function at any point is nonempty. The relations between subdifferential of level functions and normal cone of level set are described and a sufficient condition for exis tence of minimal point of a function is shown. Characteristics of some level functions are derived. |
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| Keywords: | level function sub differential quasi convex function normal cone |
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