Journal of Prime Research in Mathematics
Vol. 2 (2006), Issue 1, pp. 120 – 130
ISSN: 1817-3462 (Online) 1818-5495 (Print)
ISSN: 1817-3462 (Online) 1818-5495 (Print)
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
Copyright © 2006 Xiaolong Qin, Yongfu Su. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Published: December, 2006.
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.