若干近凸空间和近光滑空间的注记 |
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引用本文: | 苏雅拉图,莎仁格日乐,乌敦其其格.若干近凸空间和近光滑空间的注记[J].大学数学,2012(1):90-92. |
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作者姓名: | 苏雅拉图 莎仁格日乐 乌敦其其格 |
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作者单位: | 内蒙古师范大学数学科学学院;内蒙古集宁师范学院数学系;内蒙古商贸学院基础部 |
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基金项目: | 国家自然科学基金资助项目(11061022) |
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摘 要: | 指出了关于近-强凸(近-非常凸、局部近-一致光滑)的两种不同形式的定义实质上是等价的,从而统一了有关文献中的一些结果.
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关 键 词: | 近-强凸 近-非常凸 局部近-一致光滑 Banach空间 |
Remarks on Some Nearly Convex and Nearly Smooth Banach Spaces |
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Institution: | Suyalatu1,Sarengrle2,Wudunqiqige3(1.College of Mathematics Science,Inner Mongolia Normal University,Huhhot 010022,China; 2.Department of Mathematics,College of Jining,Wulanchabu 012000,China; 3.Basic Department of Inner Mongolia Trade College,Huhhot 010010,China) |
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Abstract: | This paper points out that two definitions of near-strong convexity(resp.near-very convexity,locally near uniformly smoothness) are equavlent.Some reslults about near-strong con-vexity(resp.near-very convexity,locally near uniformly smoothness) are unified. |
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Keywords: | near-strong convexity near-very convexity locally near uniformly smoothness Banach spaces |
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