| 实Banach空间中一类非线性算子不动点的收敛定理 |
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| 引用本文： | 吕桂稳,李向红.实Banach空间中一类非线性算子不动点的收敛定理[J].石家庄铁道学院学报,2007,20(4):75-77. |
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| 作者姓名： | 吕桂稳 李向红 |
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| 作者单位： | 石家庄铁道学院数理系,河北石家庄050043 |
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| 基金项目： | 石家庄铁道学院科研专项基金;石家庄铁道学院青年专项基金 |
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| 摘 要： | 在Banach空间中给出算子的带误差项的Krasnoselskij（以下简写K）迭代序列，Mann迭代序列的收敛定理，此结果对当前该领域中某些结果的推广和概括。
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| 关 键 词： | 带误差项K迭代序列 带误差项Mann迭代序列 z算子 |
| 文章编号： | 1674-0300（2007）04-0075-03 |
| 收稿时间： | 2007-09-30 |
| 修稿时间： | 2007年9月30日 |
The Convergent Theorem of Fixed Point of Nonlinear Operator in Real Banach Space |
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| Lv Guiwen,Li Xianghong.The Convergent Theorem of Fixed Point of Nonlinear Operator in Real Banach Space[J].Journal of Shijiazhuang Railway Institute,2007,20(4):75-77. |
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| Authors: | Lv Guiwen Li Xianghong |
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| Institution: | Department of Mathematics and Physics, Shijiazhuang Railway Institute, Shijiazhuang 050043,China |
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| Abstract: | operator satisfies the condition of neither Lipschitz nor bounded range. In this paper, we system- atically study operator and K iteration sequence, and Mann iteration sequence with errors of convergence, which extends and generalizes some corresponding results at present |
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| Keywords: | K iteration with errors Mann iteration with errors Z operator |
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