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  • Research Article
  • Open Access

Iterative Algorithms for Nonexpansive Mappings

Fixed Point Theory and Applications20072008:384629

  • Received: 13 September 2007
  • Accepted: 25 November 2007
  • Published:


We suggest and analyze two new iterative algorithms for a nonexpansive mapping T in Banach spaces. We prove that the proposed iterative algorithms converge strongly to some fixed point of T.


  • Banach Space
  • Differential Geometry
  • Iterative Algorithm
  • Nonexpansive Mapping
  • Computational Biology

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Authors’ Affiliations

Department of Information Management, Cheng Shiu University, Kaohsiung, 833, Taiwan
Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300160, China


© Y.-C. Liou and Y. Yao. 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.