Journal of Prime Research in Mathematics
Vol. 1 (2007), Issue 1, pp. 154 – 161
ISSN: 1817-3462 (Online) 1818-5495 (Print)
ISSN: 1817-3462 (Online) 1818-5495 (Print)
On the onvergence of strictly Pseudo-contractive mappings in banach spaces
Xiaolong Qin
Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, PR China.
Yongfu Su
Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, PR China.
Meijuan Shang
Department of Mathematics, Shijiazhuang University, Shijiazhuang 050035, PR China.
\(^{1}\)Corresponding Author: qxlxajh@163.com
Copyright © 2007 Xiaolong Qin, Yongfu Su, Meijuan Shang. 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, 2007.
Abstract
In this paper, we establish the weak and strong convergence theorems for strictly pseudo-contractive mappings in the framework of quniformly smooth Banach spaces. Our results improve and extend the corresponding ones announced by Reich, Acedo, Marino, Xu and some others.
Keywords:
Nonexpansive mapping, Strictly pseudo-contractive mapping, q-uniformly smooth, Fixed point.