Strong Convergence on Iterative Methods of Cesàro Means for Nonexpansive Mapping in Banach Space

Abstract

Two new iterations with Cesàro's means for nonexpansive mappings are proposed and the strong convergence is obtained as $n\to \infty$. Our main results extend and improve the corresponding results of Xu (2004), Song and Chen (2007), and Yao et al. (2009).