| 相对非扩展映射不动点的修正杂交迭代算法及其应用 |
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| 引用本文： | 魏利,周海云.相对非扩展映射不动点的修正杂交迭代算法及其应用[J].应用数学,2009,22(3). |
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| 作者姓名： | 魏利 周海云 |
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| 作者单位： | 1. 河北经贸大学数学与统计学学院,河北,石家庄,050061
2. 华北电力大学非线性分析研究所,河北,保定,071003 |
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| 摘 要： | 在实一致凸、一致光滑Banach空间中,提出了新的修正杂交迭代算法,用以逼近相对非扩展映射的不动点.证明了一些强收敛定理,并讨论了迭代算法在逼近极大单调算子零点上的应用,推进了以往的研究成果.
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| 关 键 词： | 相对非扩展映射 极大单调算子 强收敛 零点 不动点 |
Modified Hybrid Iterative Schemes for Fixed Points of Relatively Nonexpansive Mappings and their Applications |
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| WEI Li,ZHOU Hai-yun.Modified Hybrid Iterative Schemes for Fixed Points of Relatively Nonexpansive Mappings and their Applications[J].Mathematica Applicata,2009,22(3). |
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| Authors: | WEI Li ZHOU Hai-yun |
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| Abstract: | In this paper,some new modified hybrid iterative schemes for approximating fixed points of relatively nonexpansive mappings in a real uniformly smooth and uniformly convex Banach space are proposed.Some strong convergence theorems are obtained,and the applications of the iterative schemes on approximating zero points of maximal monotone operators are demonstrated,which extend some previous work. |
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| Keywords: | Relatively nonexpansive mapping Maximal monotone operator Strong convergence Zero point Fixed point |
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