| Φ-凸函数的ε-次微分及其应用 |
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| 引用本文： | 王晓敏,张博侃.Φ-凸函数的ε-次微分及其应用[J].河北大学学报(自然科学版),1997(2). |
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| 作者姓名： | 王晓敏 张博侃 |
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| 作者单位： | 哈尔滨工业大学 |
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| 摘 要： | 本文定义了函数关于某一函数类Φ的ε-Φ一次微分，把Banach空间中的Brondsted-Rockafellar定理推广到度量空间，并由此证明了Bishop-Phelps定理在Frechet空间成立。
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| 关 键 词： | Φ-凸函数 Φ-次微分 ε-Φ-次微分 |
The ε-Subdifferential of Φ-Convex Functions and Its Application |
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| Wang Xiaomin.The ε-Subdifferential of Φ-Convex Functions and Its Application[J].Journal of Hebei University (Natural Science Edition),1997(2). |
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| Authors: | Wang Xiaomin |
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| Abstract: | In the paper, we define the ε-Φ-subdifferential of functions with respect to a special family of functions, generalize the Brondsted-Rockafellar theorem on Banach spaces to metric spaces, and as its application, present the Bishop-Phelps theorem on Frechet spaces. |
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| Keywords: | Φ-convex function Φ-subdifferential ε-Φ-subdifferential |
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