| 较弱条件下一个全局隐函数存在性定理的证明 |
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| 引用本文： | 赵晓东. 较弱条件下一个全局隐函数存在性定理的证明[J]. 大学数学, 2011, 27(3): 173-175 |
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| 作者姓名： | 赵晓东 |
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| 作者单位： | 四川民族学院,数学系,四川,康定,626001 |
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| 基金项目： | 四川省教育厅自然科学基金资助项目(2003A168) |
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| 摘 要： | 给出泛函分析中一元全局隐函数存在定理在较弱条件下的证明,与以前的证明相比,得到的证明层次清晰易于理解和掌握.
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| 关 键 词： | 全局隐函数 存在定理 压缩映射原理 |
A Proving of a Global Implicit Function Existence Theorem under Weaker Conditions |
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| ZHAO Xiao-dong. A Proving of a Global Implicit Function Existence Theorem under Weaker Conditions[J]. College Mathematics, 2011, 27(3): 173-175 |
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| Authors: | ZHAO Xiao-dong |
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| Affiliation: | ZHAO Xiao-dong(Department of Mathematics,Sichuan University for Nationalities,Kangding,Sichuan 620061,China) |
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| Abstract: | Present a proving of a global implicit function theorem under weaker conditions in functional analysis as compared with preceding proving,the proving of obtaining has distinct arrangement,is prone to apprehend and take the reins. |
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| Keywords: | global implicit function existence theorem principle of contracting mapping |
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