Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach Spaces
Jing Zhao, Songnian He, Yongfu Su · Fixed Point Theory and Applications · 2007
Abstract The purpose of this paper is to introduce two implicit iteration schemes for approximating fixed points of nonexpansive mapping "Equation missing" and a finite family of nonexpansive mappings "Equation missing", 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.