| Banach空间中关于变分不等式组与严格伪压缩映射的广义迭代法(英文) |
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| 引用本文： | 刘英.Banach空间中关于变分不等式组与严格伪压缩映射的广义迭代法(英文)[J].应用数学,2012,25(4):785-795. |
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| 作者姓名： | 刘英 |
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| 作者单位： | 河北大学数学与计算机学院,河北保定,071002 |
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| 基金项目： | Supported by the Natural Science Foundation of Hebei Province (A2011201053 , A2010000191 , A2012201054);the Natural Science Foundation of Hebei Education Commission (2010110) |
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| 摘 要： | 本文利用广义迭代法建立一迭代序列,通过该序列讨论Banach空间中一类广义变分不等式组的解与有限个严格伪压缩映射的公共不动点,并且得到该序列的强收敛性.本文所得结论推广和提高了以前一些相应结果.
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| 关 键 词： | 不动点 q-一致光滑 严格伪压缩 递强增生映射 变分不等式 |
A General Iterative Method for Systems of Variational Inequalities and Strict Pseudo-contractions in Banach Spaces |
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| LIU Ying.A General Iterative Method for Systems of Variational Inequalities and Strict Pseudo-contractions in Banach Spaces[J].Mathematica Applicata,2012,25(4):785-795. |
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| Authors: | LIU Ying |
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| Institution: | LIU Ying(College of Mathematics and Computer,Hebei University,Baoding 071002,China) |
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| Abstract: | |
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| Keywords: | Fixed point q-uniformly smooth Strict pseudo-contraction Inversestrongly accretive mapping Variational inequality |
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