| 赋范线性空间中同时远达点的唯一性 |
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| 引用本文： | 倪仁兴.赋范线性空间中同时远达点的唯一性[J].高等学校计算数学学报,1997,19(4):357-363. |
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| 作者姓名： | 倪仁兴 |
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| 作者单位： | 绍兴文理学院数学系!绍兴312000 |
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| 摘 要： | 1 引言 设X为一实赋范线性空间,给定X中的子集G和有界子集K,令(?)和C分别表示X的所有非空有界子集与相对紧子集的全体,对A∈B,记 若x_(0)∈K满足sup||a-x_(0)||=Fk(A),则称x_(0)是A关于K的同时远达点,A关于K的同时远达点的全体记为Q_(K)(A),即
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| 关 键 词： | 赋范线性空间 同时远达点 唯一性 逼近 |
UNIQUENESS OF SIMULTANEOUS FARTHEST POINTS IN NORMED LINEAR SPACES |
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| Ni Renxing.UNIQUENESS OF SIMULTANEOUS FARTHEST POINTS IN NORMED LINEAR SPACES[J].Numerical Mathematics A Journal of Chinese Universities,1997,19(4):357-363. |
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| Authors: | Ni Renxing |
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| Institution: | Shaoxing College of Arts and Sciences |
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| Abstract: | In this paper, the uniqueness problem of simutaneous farthest points in normed linear space X is investigated. We give some uniqueness theorems to simultaneous farthest points. Meanwhile, a new characterization of strict convexity of space is obtained by the uniqueness of simultaneous farthest points with respect to two arbitrary disjoint bounded closed balls. |
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| Keywords: | Uniqueness of simutaneou farthest points characterization of strict convexity of space uniformly convex Banach space Hausdorff metric |
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