Journal of Prime Research in Mathematics

# 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

### 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.