压缩型映象的Picard、Mann和Ishikawa迭代序列收敛的等价性 |
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引用本文: | 吴定平.压缩型映象的Picard、Mann和Ishikawa迭代序列收敛的等价性[J].宜宾学院学报,2006,6(12):7-9. |
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作者姓名: | 吴定平 |
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作者单位: | 宜宾学院,学报编辑部,四川,宜宾,644000 |
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基金项目: | 四川省教育厅重点基金项目(2005A174) |
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摘 要: | 在Banach空间中引入压缩型映象的Picard、Mann和Ishika wa迭代序列,研究其收敛的等价性问题。在适当条件下得出了这几类迭代序列收敛的等价性结果,从而完善和补充了文的相应结果。
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关 键 词: | Picard迭代 Mann迭代 Ishikawa迭代 压缩型映象 |
文章编号: | 1671-5365(2006)12-0007-03 |
收稿时间: | 10 27 2006 12:00AM |
修稿时间: | 2006年10月27 |
On Equivalence among Picard, Mann and Ishikawa Iterations for Contractive Type Mapping |
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Authors: | WU Ding-ping |
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Institution: | Yibin University, Yibin 644000, China |
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Abstract: | The purpose of this article is to introduce and to study the equivalence among the convergences of Picard,Mann and Ishikawa iterations for contractive type mappings in Banach spaces.Under appropriate conditions some,equivalence re- sults among the convergence of these kinds of iterations are obtained.The results presented in the article are perfect and re- plenish the corresponding results with. |
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Keywords: | Picard Iteration Mann Iteration Ishikawa Iteration Contractive Type Mappings |
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