| 超凸度量空间中非扩张映象公共不动点的逼近 |
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| 引用本文： | 周宜波,何中全. 超凸度量空间中非扩张映象公共不动点的逼近[J]. 温州大学学报(自然科学版), 2011, 32(2). DOI: 10.3875/j.issn.1674-3563.2011.02.003 |
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| 作者姓名： | 周宜波 何中全 |
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| 作者单位： | 西华师范大学数学与信息学院,四川南充,637000 |
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| 摘 要： | 引入了具混合误差的N-步迭代序列,并在超凸度量空间中得到了具混合误差的N-步迭代序列收敛于有限个具有公共不动点的k-强压缩非扩张型映象的一个公共不动点,这个结论推广和发展了最近的相关结果,使得这些结果的适用范围更广.
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| 关 键 词： | 超凸度量空间 非扩张映象 混合误差 迭代序列 公共不动点 |
Approximation for Common Fixed Point of Nonexpansive Mappings in Hyperconvex Metric Spaces |
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| ZHOU Yibo,HE Zhongquan. Approximation for Common Fixed Point of Nonexpansive Mappings in Hyperconvex Metric Spaces[J]. Journal of Wenzhou University Natural Science, 2011, 32(2). DOI: 10.3875/j.issn.1674-3563.2011.02.003 |
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| Authors: | ZHOU Yibo HE Zhongquan |
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| Affiliation: | ZHOU Yibo,HE Zhongquan(College of Mathematics and Information,China West Normal University,Nanchong,China 637000) |
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| Abstract: | This paper introduced N-step iterative sequence with mixed errors.It was proved that the N-step iterative sequence with mixed errors converges to a common fixed point of a finite family of k-strong contractive nonexpansive mappings in hyperconvex metric space.The corresponding results in the recent literature are generalized and improved.And the application scope of these results are expanded. |
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| Keywords: | Hyperconvex Metric Space Nonexpansive Mapping Mixed Error Iterative Sequence Common Fixed Point |
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