| Banach 空间中非线性最佳逼近的广义强唯一性 |
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| 引用本文： | 徐士英.Banach 空间中非线性最佳逼近的广义强唯一性[J].系统科学与数学,1999,19(1):051-055. |
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| 作者姓名： | 徐士英 |
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| 作者单位： | 中国计量学院!杭州，310034 |
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| 摘 要： | 设X是一致凸空间，G为X中太阳集，R．Smarzewski1]证明了g∈G对x∈的最佳逼近具有广义强唯一性，本文讨论其逆，在最佳逼近是广义强唯一的条件下，研究了空间的凸性和逼近集的太阳性．
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| 关 键 词： | 非线性最佳逼近 一致凸空间 广义强唯一性 太阳集 |
GENERALIZED STRONG UNICITY OF NONLINEAR BEST APPROXIMATION IN BANACH SPACES |
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| Shi Ying XU.GENERALIZED STRONG UNICITY OF NONLINEAR BEST APPROXIMATION IN BANACH SPACES[J].Journal of Systems Science and Mathematical Sciences,1999,19(1):051-055. |
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| Authors: | Shi Ying XU |
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| Institution: | China Institute of Metrology, Hangzhou 310034,P.R.China |
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| Abstract: | Let X be a uniformly convex space, G a sunset of X. R.Smarzewski proved that a best approximation g implied by G to element x implied by X must have the generalized strong unicity. In this paper, we study the inverse problem, that is, under the condition that the best approximation is a generalized strongly unique best approximation, we study the convexity of spaces and the solar properties of approximation sets. |
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| Keywords: | Nonlinear best approximation uniformly convex space generalized strongunicity sun set |
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