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  • Research Article
  • Open Access

Strong Convergence Theorems for a Finite Family of Nonexpansive Mappings

Fixed Point Theory and Applications20072007:076971

  • Received: 23 May 2007
  • Accepted: 2 August 2007
  • Published:


We modified the classic Mann iterative process to have strong convergence theorem for a finite family of nonexpansive mappings in the framework of Hilbert spaces. Our results improve and extend the results announced by many others.


  • Hilbert Space
  • Iterative Process
  • Differential Geometry
  • Convergence Theorem
  • Nonexpansive Mapping


Authors’ Affiliations

Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300160, China
Department of Mathematics, Shijiazhuang University, Shijiazhuang, 050035, China
Department of Mathematics, Gyeongsang National University, Chinju, 660-701, Korea


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© Meijuan Shang et al. 2007

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.