| Banach空间中一类映像的三重迭代法 |
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| 引用本文： | 高改良,周海云,张文良.Banach空间中一类映像的三重迭代法[J].应用泛函分析学报,2011,13(1):91-94. |
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| 作者姓名： | 高改良 周海云 张文良 |
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| 作者单位： | 1. 军械工程学院应用数学研究所,石家庄,050003
2. 河北金融学院基础部,保定,071051 |
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| 基金项目： | 国家自然科学基金，军械工程学院科研基金 |
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| 摘 要： | 利用赋范线性空间X的凸性模定义,以及凸性模的单调性及半紧性条件,研究了渐近非扩张映射不动点的三步迭代法.减弱了许多条件,从而推广了同类问题的某些结果.
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| 关 键 词： | 三步迭代法 渐近非扩张映像 半紧性 |
Three-steps Iterations Method of Fixed Point for a Kind of Mapping in Banach Spaces |
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| GAO Gailiang,ZHOU Haiyun,ZHANG Wenliang.Three-steps Iterations Method of Fixed Point for a Kind of Mapping in Banach Spaces[J].Acta Analysis Functionalis Applicata,2011,13(1):91-94. |
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| Authors: | GAO Gailiang ZHOU Haiyun ZHANG Wenliang |
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| Institution: | GAO Gailiang~1,ZHOU Haiyun~1,ZHANG Wenliang~2 1.Institute of Applied Mathematics,Ordnance Engineering College,Shijiazhuang 050003,China 2.Basic Department,Hebei College of Finance,Baoding 071051,China |
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| Abstract: | In this paper using the definition and property of the convex modulus of norm linear space X,and conditions of semi-compactness,we discussed three-steps iterations method of fixed point for asymptotically nonexpansive mappings.Weaken more conditions,thus some similar conclusion have been obtained. |
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| Keywords: | three-steps iterations asymptotically nonexpansive mappings semi-compactness |
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