| 任意Banach空间Φ-强伪压缩映射不动点的Ishikawa迭代逼近 |
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| 引用本文： | 汪志明. 任意Banach空间Φ-强伪压缩映射不动点的Ishikawa迭代逼近[J]. 数学的实践与认识, 2007, 37(4): 129-132 |
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| 作者姓名： | 汪志明 |
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| 作者单位： | 唐山学院基础部,河北,唐山,063000 |
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| 摘 要： | 文章借助于对偶映射的定义,给出了任意Banach空间中LipschitzΦ-强伪压缩映射不动点的Ishikawa迭代收敛定理的简化证明,并且推广了目前相应的已知结果.
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| 关 键 词： | LipschitzΦ-强伪压缩映射 Ishikawa迭代 不动点 一致光滑Banach空间 |
| 修稿时间： | 2006-11-05 |
Ishikawa Iterative Approximation for Fixed Point of Φ-Strongly Pseudocontractive Mappings Arbitrary Banach Spaces |
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| WANG Zhi-ming. Ishikawa Iterative Approximation for Fixed Point of Φ-Strongly Pseudocontractive Mappings Arbitrary Banach Spaces[J]. Mathematics in Practice and Theory, 2007, 37(4): 129-132 |
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| Authors: | WANG Zhi-ming |
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| Abstract: | By virtue of definition of duality mapping,we give a brief proof for Ishikawa iterative approximation for fixed point of Φ-strongly pseudocontractive mappings in arbitrary Banach spaces,and extend the recent corresponding known results. |
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| Keywords: | Lipschitz Φ-strongly pseudocontractive maps Ishikawa iteration fixed point uniformly smooth Banach spaces |
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