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2009 Common Fixed Points of Multistep Noor Iterations with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings
S. Imnang, S. Suantai
Abstr. Appl. Anal. 2009: 1-14 (2009). DOI: 10.1155/2009/728510

Abstract

We introduce a general iteration scheme for a finite familyof 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 andNoor, and Khan and Takahashi scheme as special cases. Our results generalizeand 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.

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S. Imnang. S. Suantai. "Common Fixed Points of Multistep Noor Iterations with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings." Abstr. Appl. Anal. 2009 1 - 14, 2009. https://doi.org/10.1155/2009/728510

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1185.47076
MathSciNet: MR2559277
Digital Object Identifier: 10.1155/2009/728510

Rights: Copyright © 2009 Hindawi

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