| 凸函数的次微分算子的一致连续性和一致单调性 |
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| 引用本文： | 张风,涂文彪. 凸函数的次微分算子的一致连续性和一致单调性[J]. 广西师范学院学报(自然科学版), 1996, 0(4) |
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| 作者姓名： | 张风 涂文彪 |
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| 作者单位： | 江汉石油学院基础部，驻马店师专 |
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| 摘 要： | 该文给出了“有界—凸集—一致有界”（ｂ．ｃ．ｕ．ｂ），“有界—凸集—一致可微”（ｂ．ｃ．ｕ．ｄ）等概念．证明了凸函数及其次微分，微分在这些意义下的若干性质．建立了凸函数的次微分算子的单调性与该函数凸性关系的特征性质．
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| 关 键 词： | 一致Frechet可微；一致连续；一致有界 |
Uniform Monotonicity and Uniform Continuity of Subdifferential Mappings of Convex Functions |
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| Zhang Feng. Uniform Monotonicity and Uniform Continuity of Subdifferential Mappings of Convex Functions[J]. Journal of Guangxi Teachers Education University:Natural Science Edition, 1996, 0(4) |
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| Authors: | Zhang Feng |
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| Abstract: | This note shows that a continuous convex function defined on an open convex set of a Banach space E is unifromly convex (uniformly Frechet differentiable,resp. )on the set if and only if its subdifferential map is uniformly monotone (uniformly continuous,resp. ). |
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| Keywords: | unifromly Frechet differentiable uniformly contiunou uniformly bounded |
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