| 一个精细的Bishop-Phelps定理 |
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| 引用本文： | 陈晓锋.一个精细的Bishop-Phelps定理[J].数学研究,2003,36(2):133-135. |
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| 作者姓名： | 陈晓锋 |
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| 作者单位： | 厦门大学数学系,福建,厦门,361005 |
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| 基金项目： | ResearchsupportedbytheNationalNaturalScienceFoundationofChina |
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| 摘 要： | 讨论了凸函数的次微分映射和凸集的支撑点集之间的内在关系，由此本给出了由凸函数的次微分映射所刻划的一个精细的Bishop-Phelps定理．
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| 关 键 词： | 支撑点 支撑泛函 次微分 凸函数 |
An Extended and Unified Sharp Bishop-Phelps Theorem by the Subdifferential Mapping of a Convex Function |
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| Chen Xiaofeng.An Extended and Unified Sharp Bishop-Phelps Theorem by the Subdifferential Mapping of a Convex Function[J].Journal of Mathematical Study,2003,36(2):133-135. |
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| Authors: | Chen Xiaofeng |
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| Abstract: | Through investigating support points and support functional of a convex set and the behavior of the subdifferential mappings of convex functions, this note presents a sharp Bishop-Phelps theorem unified by the subdifferential mapping of a convex function. |
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| Keywords: | support point support functional subdifferential convex function |
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