Skip to content


  • Research Article
  • Open Access

Weak and Strong Convergence Theorems for Nonexpansive Mappings in Banach Spaces

Fixed Point Theory and Applications20072008:751383

  • Received: 25 August 2007
  • Accepted: 16 December 2007
  • Published:


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.


  • Banach Space
  • Differential Geometry
  • Convergence Theorem
  • Nonexpansive Mapping
  • Strong Convergence

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

College of Science, Civil Aviation University of China, Tianjin, 300300, China
Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300160, China


© Jing Zhao et al. 2008

This article is published under license to BioMed Central Ltd. 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.