Convergence Theorems on a New Iteration Process for Two Asymptotically Nonexpansive Nonself-Mappings with Errors in Banach Spaces

الملخص EN

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).