Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces

Document Type : Research Paper


Department of Mathematics & Information Technology, Govt. Nagarjun P.G. College of Science, Raipur (C.G.), India


The purpose of this paper is to study and give the necessary and sufficient condition of strong convergence of the multi-step iterative algorithm with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings to converge to common fixed points in Banach spaces. Our results extend and improve some recent results in the literature (see, e.g. [2, 3, 5, 6, 7, 8, 11, 14, 19]).


Volume 2, Issue 1 - Serial Number 1
January 2011
Pages 85-96
  • Receive Date: 17 June 2010
  • Revise Date: 02 December 2010
  • Accept Date: 09 December 2010