Common Fixed Points of Multistep Noor Iterations with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings

被引:9
|
作者
Imnang, S. [1 ]
Suantai, S. [1 ]
机构
[1] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand
关键词
STRONG-CONVERGENCE THEOREMS; BANACH-SPACES; WEAK; MAPS;
D O I
10.1155/2009/728510
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce a general iteration scheme for a finite family of generalized asymptotically quasi-nonexpansive mappings in Banach spaces. The new iterative scheme includes the multistep Noor iterations with errors, modified Mann and Ishikawa iterations, three-step iterative scheme of Xu and Noor, and Khan and Takahashi scheme as special cases. Our results generalize and improve the recent ones announced by Khan et al. (2008), H. Fukhar-ud-din and S. H. Khan (2007), J. U. Jeong and S. H. Kim (2006), and many others. Copyright (C) 2009 S. Imnang and S. Suantai.
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页数:14
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