| Hilbert空间中k-严格拟伪压缩映像有限族公共不动点的迭代算法 |
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| 引用本文： | 何斌,陈东青. Hilbert空间中k-严格拟伪压缩映像有限族公共不动点的迭代算法[J]. 河北师范大学学报(自然科学版), 2011, 35(5) |
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| 作者姓名： | 何斌 陈东青 |
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| 作者单位： | 军械工程学院基础部,河北石家庄,050003 |
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| 基金项目： | 国家自然科学基金(11071053) |
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| 摘 要： | 给出了Hilbert空间中k-严格拟伪压缩映像有限族公共不动点的一个杂交投影算法,将k-严格拟伪压缩映像有限族转换为拟非扩张映像,使用算子的连续性,证明了一个强收敛定理.
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| 关 键 词： | Hilbert空间 k-严格伪压缩映像族 杂交投影算法 公共不动点 |
Iteration Methods for Fixed Point of Common Family of Strict Quasi-pseudocontractive Mapping in Hilbert Spaces |
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| HE Bin,CHEN Dongqing. Iteration Methods for Fixed Point of Common Family of Strict Quasi-pseudocontractive Mapping in Hilbert Spaces[J]. Journal of Hebei Normal University, 2011, 35(5) |
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| Authors: | HE Bin CHEN Dongqing |
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| Affiliation: | HE Bin,CHEN Dongqing(Department of Basic Courses,Ordnance Engineering College,Hebei Shijiazhuang 050003,China) |
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| Abstract: | The iteration methods for fixed point of common family of strictly quasi-pseudocontractive mapping in Hilbert spaces is modified,then strict quasi-pseudocontractive mapping is converted to quasi-nonexpansive mappings,and using operators continuity,a strong convergence theorem is proved. |
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| Keywords: | Hilbert space k-strict quasi-pseudocontractive mapping hybrid projection method fixed point of common family |
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