| 有限族严格伪压缩映象公共不动点的强收敛定理 |
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| 引用本文： | 张树义,丛培根,林媛. 有限族严格伪压缩映象公共不动点的强收敛定理[J]. 西华大学学报(自然科学版), 2018, 37(1): 39-45. DOI: 10.3969/j.issn.1673-159X.2018.01.006 |
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| 作者姓名： | 张树义 丛培根 林媛 |
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| 作者单位： | 渤海大学数理学院，辽宁 锦州 121013 |
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| 基金项目： | 国家自然科学基金11371070 |
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| 摘 要： | 在赋范线性空间使用条件(A′), 研究一族Browder-Petryshyn型严格伪压缩映象公共不动点带误差的合成隐式迭代序列的收敛性。本文建立了严格伪压缩映象公共不动点的合成隐式迭代序列的强收敛定理, 获得的结果改进并推广了现有文献中的相应结果。
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| 关 键 词： | 严格伪压缩映象 合成隐式迭代序列 条件(A′) 公共不动点 |
| 收稿时间： | 2016-12-12 |
Strong Convergence Theorems of Common Fixed Points for a Finite Family of Strictly Pseudocontractive Mappings |
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| ZHANG Shuyi,CONG Peigen,LIN Yuan. Strong Convergence Theorems of Common Fixed Points for a Finite Family of Strictly Pseudocontractive Mappings[J]. Journal of Xihua University(Natural Science Edition), 2018, 37(1): 39-45. DOI: 10.3969/j.issn.1673-159X.2018.01.006 |
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| Authors: | ZHANG Shuyi CONG Peigen LIN Yuan |
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| Affiliation: | College of Mathematics and Physics, Bohai University, Jinzhou 121013 China |
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| Abstract: | The purpose of this research work is to study convergence of composite implicit iteration sequences with errors for a finite family of strictly pseudo-contractive mappings of Browder-Petryshyn type in normed linear spaces by using the condition (A′). Strong convergence theorems of composite implicit iteration sequences for a finite family of strictly pseudo-contractive mappings of Browder-Petryshyn type are established. The obtained results improve and extend the corresponding results of some reference. |
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