Journal of Prime Research in Mathematics

An Iterative method for nonexpansive mapping in Banch Spaces

Xiaolong Qin
Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, P.R.China

Yongfu Su
Tianjin Polytechnic University, Tianjin 300160, P.R.China,

\(^{1}\)Corresponding Author: qxlxajh@163.com

Abstract

In this paper, we establish weak and strong convergence theorems of the three-step iterative sequences with errors for non-self nonexpansive mappings in uniformly convex Banach spaces. Our results extend and improve the recent ones announced by Naseer Shahzad and some others.

Keywords:

Nonexpansive non-self map, Opial’s condition, Uniformly convex, Demiclosed.