| 连续伪压缩映射有限簇的显式迭代程序的收敛性 |
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| 引用本文： | 王强.连续伪压缩映射有限簇的显式迭代程序的收敛性[J].绍兴文理学院学报,2006,26(3):25-29. |
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| 作者姓名： | 王强 |
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| 作者单位： | 浙江绍兴贸易经济学校,浙江绍兴312000 |
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| 摘 要： | 通过引入一类新的更具实际意义的显式迭代格式，证明了Banach空间中连续伪压缩映射有限簇一些极限的存在性，并在此基础上给出了任意实Banach空间中连续伪压缩映射有限簇强收敛于其公共不动点的充要条件，改进了已有的结果．
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| 关 键 词： | 连续伪紧缩映射 严格伪压缩映射 显式迭代程序 公共不动点 强收敛性 |
| 文章编号： | 1008-293X（2006）09-0025-05 |
| 收稿时间： | 2006-09-20 |
Convergence Theorems for Explicit Iteration Process for a Finite Family of Continuous Pseudo- Contractive Mappings |
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| Wang Qiang.Convergence Theorems for Explicit Iteration Process for a Finite Family of Continuous Pseudo- Contractive Mappings[J].Journal of Shaoxing College of Arts and Sciences,2006,26(3):25-29. |
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| Authors: | Wang Qiang |
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| Abstract: | The existences of a finite family of continuous pseudo - contractive mappings were proved in an arbitrary real Banach space by introducing a class of explicit scheme. The scheme is of great practical significance. We also gave the necessary and sufficient conditions for the strong convergence to a common fixed point of a finite family of continuous pseudo - contractive mappings in an arbitrary real Banach space. These results improved the recent corresponding results. |
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| Keywords: | continuous pseudo - contractive mappings strictly pseudo - contractive mappings explicit iteration process common fixed points strong convergence |
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