一类具有广义Lipschitz条件的非线性映象的迭代过程 |
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引用本文: | 谷峰. 一类具有广义Lipschitz条件的非线性映象的迭代过程[J]. 应用数学, 1999, 12(3): 44-48 |
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作者姓名: | 谷峰 |
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作者单位: | 齐齐哈尔大学数学系 |
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摘 要: | 本文研究了广义Lipschitz强增生映象的Ishikawa型迭代和Mann型迭代过程的收敛性.所得结果统一和扩展了近期相关结果
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关 键 词: | 广义Lipschitz条件;Ishikawa迭代过程;强增生映象;一致光滑Banach空间 |
Iterative Process for Certain Nonlinear Mappings with Generalized Lipschitz Condition |
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Abstract: | In this article,the convergence of the Ishikawa and the Mann iteration processes for generalized Lipschitzian and strongly accretive mappings are investigated,the recent relevant results are unified and extended. |
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Keywords: | Generalized Lipschitz Condition Ishikawa Iteration Process Strongly Accretive Mapping Uniformly Smooth Banach Space |
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