| Lipschitz和Kannan型映射的不动点及迭代逼近 |
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| 引用本文： | 赵晓全.Lipschitz和Kannan型映射的不动点及迭代逼近[J].电机与控制学报,1989(4). |
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| 作者姓名： | 赵晓全 |
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| 作者单位： | 哈尔滨电工学院应用数学研究室 |
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| 摘 要： | 本文考虑了一类比自映射更广的带边界条件映射的不动点问题,证明了当映射同时为Lipschitz型和Kannan型时存在不动点.最后构造了一种带边界条件映射的Mann迭代序列并讨论了不动点的迭代逼近问题.
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| 关 键 词： | 非线性算子 不动点 迭代逼近 |
The Fixed Points and Approximations of Iterates for Lipschitz and Kannan Type Mappings |
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| Zhao Xiaoquan Development Laboratory of Applied Mathemitics.The Fixed Points and Approximations of Iterates for Lipschitz and Kannan Type Mappings[J].Electric Machines and Control,1989(4). |
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| Authors: | Zhao Xiaoquan Development Laboratory of Applied Mathemitics |
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| Affiliation: | Zhao Xiaoquan Development Laboratory of Applied Mathemitics |
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| Abstract: | In this paper, the fixed points problems of the mappings with boundary conditions is considered. It has been proved that in these mappings fixed points exist when they are both Lipschtz type and Kannan type. A type of Mann iterate sequence for such mappings is constructed and the approxim ation of iterate to the fixed points is studied. |
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| Keywords: | Nonlinear operater fixed point iterated approximation |
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