| 多值Φ-强伪压缩映像不动点的集合序列的Ishikawa迭代逼近 |
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| 引用本文： | 冉凯,赵凤群.多值Φ-强伪压缩映像不动点的集合序列的Ishikawa迭代逼近[J].西安文理学院学报,2008,11(2):10-14. |
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| 作者姓名： | 冉凯 赵凤群 |
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| 作者单位： | [1]西安文理学院数学系,陕西西安710065 [2]西安理工大学数学系,陕西西安710048 |
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| 基金项目： | 陕西省教育厅资助项目
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西安文理学院校科研和教改项目 |
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| 摘 要： | 在一致光滑的实Banach空间中,研究多值Φ强伪压缩映像集合序列生成的Ishikawa迭代序列逼近问题，给出了迭代集合序列逼近多值Φ强伪压缩映像不动点集合的强收敛定理，是Ishikawa迭代序列逼近多值Φ强伪压缩映像不动点问题的推广。
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| 关 键 词： | 多值 强伪压缩映像 不动点 集合序列 |
| 文章编号： | 1008-5564(2008)02-0010-05 |
| 修稿时间： | 2007年8月20日 |
Ishikawa Iterative Approximation of Fixed Points for Multi-valued-Strongly Pseudo-Contract Mappings |
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| RAN Kai,ZHAO Feng-qun.Ishikawa Iterative Approximation of Fixed Points for Multi-valued-Strongly Pseudo-Contract Mappings[J].Journal of Xi‘an University of Arts & Science:Natural Science Edition,2008,11(2):10-14. |
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| Authors: | RAN Kai ZHAO Feng-qun |
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| Institution: | RAN Kai, ZHAO Feng-qun(1. Department of Mathematics, Xi＇ an University of Arts and Science, Xi＇an 710065, China; 2. Department of Mathematics, Xi＇an University of Technology, Xi＇an 710048, China) |
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| Abstract: | In the uniformly smooth Banach spaces,Ishikawa iterative sequence approximation problem of set sequences for multi-valued Φ-strongly pseudo-contract mappings is studied.The strong convergence theorem of Ishikawa set iterative sequence with error approximation of the fixed points set of multi-valued Φ-strongly pseudo-contract mappings is given.The corresponding results are popularized. |
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| Keywords: | multi-valued strongly pseudo-contract mapping fixed point set sequence |
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