| 关于一类非线性映射迭代序列收敛的等价性 |
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| 引用本文： | 王亚宁.关于一类非线性映射迭代序列收敛的等价性[J].华北航天工业学院学报,2009(4):38-40. |
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| 作者姓名： | 王亚宁 |
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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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| 摘 要： | 本文在适当放宽不动点定理的条件下，分别证明了Mann迭代序列与Noor迭代序列收敛的等价性以及Mann迭代序列与Ishikawa迭代序列收敛的等价性。
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| 关 键 词： | 广义Φ-压缩映射 不动点 Noor迭代序列 Mann迭代序列 Ishikawa迭代序列 |
The Equivalence of Iterative Sequences Convergence for a Class Nonlinear Mapping |
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| WANG Ya-ning.The Equivalence of Iterative Sequences Convergence for a Class Nonlinear Mapping[J].Journal of North China Institute of Astronautic Engineering,2009(4):38-40. |
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| Authors: | WANG Ya-ning |
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| Institution: | WANG Ya-ning (Shijiazhuang Railway Institute, Mathematics and Physics Department, Shijiazhuang 050043, China) |
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| Abstract: | In this paper,it is shown that the convergence of Noor convergence of Mann iteration sequence is equivalent to Ishikawa trary real Banach spaces. iteration sequence is equivalent to Mann iteration sequence, and the iteration sequence for generalized Φ-contractive mappings in an arbitrary real Banach spaces. |
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| Keywords: | generalizedΦ-contractive mappings fixed point noor iteration sequence mann iteration sequence ishikawa iteration sequence |
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