| 有限个广义渐近非扩张映射具误差的复合隐迭代过程 |
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| 引用本文： | 关金玉,徐永春,何震.有限个广义渐近非扩张映射具误差的复合隐迭代过程[J].数学的实践与认识,2010,40(14). |
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| 作者姓名： | 关金玉 徐永春 何震 |
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| 基金项目： | 河北省教育厅自然科学项目，张家口市科学技术研究与发展计划项目，教育部重点课题 |
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| 摘 要： | 在一致凸Banach空间研究了一个新的有限个广义渐近非扩张映射具误差的复合隐迭代过程.利用空间满足Opial条件和算子满足半紧性条件,我们证明了这个隐迭代过程强、弱收敛于有限个广义渐近非扩张映射的公共不动点.这些结果是目前所得成果的完善和推广.
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| 关 键 词： | 具误差的复合隐迭代过程 广义渐近非扩张映射 一致凸Banach空间 公共不动点 |
Composite Implicit Iteration Process with Errors for a Finite Family of Generalized Asymptotically Nonexpansive Mappings |
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| GUAN Jin-yu,XU Yong-chun,HE Zhen.Composite Implicit Iteration Process with Errors for a Finite Family of Generalized Asymptotically Nonexpansive Mappings[J].Mathematics in Practice and Theory,2010,40(14). |
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| Authors: | GUAN Jin-yu XU Yong-chun HE Zhen |
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| Abstract: | composite implicit fixed point iteration process with errors for a finite family of generalized asymptotically nonexpansive mappings in a uniformly convex Banach space. Applying opial condition of the space and semi-compact condition of the operator,we prove that this iteration process strongly converges(or weakly converge) to a common fixed point for a finite family of generalized asymptotically quasi-nonexpansive mappings.Our results extend and generalize some well known results. |
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| Keywords: | generalized asymptotically nonexpansive mapping uniformly convex Banach space common fixed point |
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