Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 307245, 19 pages
doi:10.1155/2010/307245

Convergence theorems on a new iteration process for two asymptotically nonexpansive nonself-mappings with errors in Banach spaces

Abstract

We introduce a new two-step iterative scheme for two asymptotically nonexpansive nonself-mappings in a uniformly convex Banach space. Weak and strong convergence theorems are established for this iterative scheme in a uniformly convex Banach space. The results presented extend and improve the corresponding results of Chidume et al. (2003), Wang (2006), Shahzad (2005), and Thianwan (2008).