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

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.