Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 751383, 7 pages
doi:10.1155/2008/751383
Weak and strong convergence theorems for nonexpansive mappings in Banach spaces
Jing Zhao1
, Songnian He1
and Yongfu Su3
1College of Science, Civil Aviation University of China, Tianjin 300300, China
3Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
Abstract
The purpose of this paper is to introduce two implicit iteration schemes for approximating fixed points of nonexpansive mapping T and a finite family of nonexpansive mappings {Ti}i=1N, respectively, in Banach spaces and to prove weak and strong convergence theorems. The results presented in this paper improve and extend the corresponding ones of H.-K. Xu and R. Ori, 2001, Z. Opial, 1967, and others.