Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach Spaces
© Jing Zhao et al. 2008
Received: 25 August 2007
Accepted: 16 December 2007
Published: 24 December 2007
The purpose of this paper is to introduce two implicit iteration schemes for approximating fixed points of nonexpansive mapping and a finite family of nonexpansive mappings , 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.
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