Abstract and Applied Analysis
Volume 2009 (2009), Article ID 728510, 14 pages
doi:10.1155/2009/728510
Common fixed points of multistep Noor iterations with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings
S. Imnang
and S. Suantai
Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Abstract
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.