| 一致L-Lipschitz映象对公共不动点的迭代逼近 |
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| 引用本文： | 李万继.一致L-Lipschitz映象对公共不动点的迭代逼近[J].湖北汽车工业学院学报,2014(1):67-70. |
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| 作者姓名： | 李万继 |
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| 作者单位： | ;1.湖北汽车工业学院理学院 |
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| 摘 要： | Banach空间中非线性算子的不动点的迭代逼近问题是非线性逼近理论中所研究的最重要的问题之一。通常用Mann和Ishikawa迭代法去逼近非线性算子的不动点。本文研究了Banach空间中一致L-Lipschitz映象对公共不动点的迭代逼近问题,改进和推广了文献5-6]的相应结果。
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| 关 键 词： | 渐近非扩张映象 渐近伪压缩映象 Ishikawa迭代序列 不动点 |
Iterative Approximation to a Common Fixed Point of Uniformly L-Lipschitzian Mapping Pairing |
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| Abstract: | The iterative approximation problem of fixed points for nonlinear operators in Banach spaces is one of the most important problems in the nonlinear approximation theory. Mann and Ishikawa iterative methods were generally used for finding fixed points of nonlinear operators. The iterative approximation to a common fixed point of uniformly L-Lipschitzian mapping pairing in Banach spaces was discussed. Some corresponding results of references5-6] were improved, extended and developed. |
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| Keywords: | asymptotically nonexpansive mapping asymptotically pseudo-contractive mapping Ishikawa iteration fixed point |
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