| 非扩张算子对不变逼近的应用 |
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| 引用本文： | 徐洪坤.非扩张算子对不变逼近的应用[J].医学教育探索,1992(1). |
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| 作者姓名： | 徐洪坤 |
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| 作者单位： | 华东化工学院应用数学研究所 |
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| 摘 要： | 利用非扩张算子的不动点理论,证明了最佳逼近和不变逼近的存在性。所获结果推广改进了某些已知结果,并给出了A. Smolus问题的一个扩充性回答。
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| 关 键 词： | 非扩张算子 最佳逼近 不变逼近 |
Application of Nonexpansive Operators to Invariant Approximations |
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| Xu Hongkun.Application of Nonexpansive Operators to Invariant Approximations[J].Researches in Medical Education,1992(1). |
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| Authors: | Xu Hongkun |
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| Institution: | Institute of Applied Mathematics |
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| Abstract: | The existence for both best and invariant approximations is proven by using the fixed point theory of nonexpansive operators. The obtained results generalize and improve some known results, and also provide an extension answer to a question of A. Smolus. |
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| Keywords: | non-expansive operator best approximation invariant approximation |
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