| 2类压缩映射的强收敛定理 |
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| 引用本文： | 邵颖,郑晓迪,张树义.2类压缩映射的强收敛定理[J].南阳师范学院学报,2009,8(6):9-12. |
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| 作者姓名： | 邵颖 郑晓迪 张树义 |
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| 作者单位： | 渤海大学数学系,辽宁锦州,121000 |
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| 基金项目： | 辽宁省教育厅科研基金资助项目 |
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| 摘 要： | 在一般Banach空间研究了拟压缩映射对和广义压缩映射的不动点的Ishikawa迭代序列的收敛性问题;在凸度量空间研究了拟压缩映射对的不动点的广义Ishikawa迭代序列的收敛性问题,所得结果推广和改进了已有文献中的相应结果.
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| 关 键 词： | 拟压缩映射对 广义压缩映射 B8nach空间 凸度量空间 Ishikawa迭代序列 |
Some strong convergence theorems for two contractive mappings |
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| SHAO Ying,ZHENG Xiao-di,ZHANG Shu-yi.Some strong convergence theorems for two contractive mappings[J].Journal of Nanyang Teachers College,2009,8(6):9-12. |
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| Authors: | SHAO Ying ZHENG Xiao-di ZHANG Shu-yi |
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| Institution: | Department of Mathematics;Bohai University;Jinzhou 121000;China |
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| Abstract: | The problems on convergence of fixed point with Ishikawa iterative process for quasi-contractive mapping pair and generalized contractive mapping in Banach spaces are studied. The problem on convergence of fixed point with generalized Ishikawa iterative process for quasi-contractive mapping pair in convex metric spaces is studied. The obtained results extend and improve corresponding results about existing refrences. |
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| Keywords: | quasi-contractive mapping pair generalized contractive mapping Banach spaces convex metric spaces Ishikawa iterative process |
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