| 有限族严格伪压缩映象具误差的一类新的合成隐迭代程序 |
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| 引用本文： | 饶若峰,王雄瑞.有限族严格伪压缩映象具误差的一类新的合成隐迭代程序[J].吉林大学学报(理学版),2008,46(5):865-869. |
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| 作者姓名： | 饶若峰 王雄瑞 |
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| 作者单位： | 宜宾学院 数学系, 四川 宜宾 644007 |
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| 基金项目： | 四川省教育厅资助项目，宜宾学院课题基金 |
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| 摘 要： | 参照强伪压缩映象不动点定理引进了涉及有限族严格伪压缩映象的带误差的合成隐迭代式. 在实Banach空间框架下, 利用Petryshyn不等式引理证明了该迭代序列强收敛于此严格伪压缩映象族的一个公共不动点.
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| 关 键 词： | 合成隐迭代序列 严格伪压缩映象 公共不动点 |
| 收稿时间： | 2007-12-09 |
A Class of New Composite Implicit Iteration Process for Common Fixed Points of a Finite Family of Strictly Pseudocontractive Maps |
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| RAO Ruo-feng,WANG Xiong-rui.A Class of New Composite Implicit Iteration Process for Common Fixed Points of a Finite Family of Strictly Pseudocontractive Maps[J].Journal of Jilin University: Sci Ed,2008,46(5):865-869. |
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| Authors: | RAO Ruo-feng WANG Xiong-rui |
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| Institution: | Department of Mathematics, Yibin College, Yibin 644007, Sichuan Province, China |
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| Abstract: | In view of the existence theory for fixed point of a continuous pseudocontractive mapping,a new composite implicit iterative process with errors for a finite family of strictly pseudocontractive mappings is introduced reasonably in a real smooth Banach space.We have proved by means of the Petryshyn's inequality that the iterative process converges strongly to a fixed point of the family of strictly pseudocontractive mappings under some suitable conditions. |
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| Keywords: | composite implicit iterative process strictly pseudo contractive mappings common fixed point |
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