Weak Convergence Theorems of Three-Step Noor Iterative Scheme for I-quasi-nonexpansive Mappings in Banach Spaces*
Poom Kumam · 2008
We establish the weak convergence of three-step Noor iterative scheme for an I-nonexpansive mappping in a Banach space which satisfies Opial’s condition. The presented results in this paper, is connected with Kiziltunc and Ozdemir, “On convergence theorem for nonself I nonexpansive mapping in Banach spaces”, Applied Mathematical Sciences, Vol. 1, 2007, no. 48, 2379 – 2383 in [5], in sense of self maps and which extend and improve the recent ones announced by Rhoades and Temir, “Convergence theorems for I-nonexpansive mapping”, International Journal of Mathematical Sciences, Volume 2006, Article ID 63435, Pages 1-4 in [12]. *Supported by the KMUTT Research Fund. **Corresponding author