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  • Research Article
  • Open Access

Some Weak Convergence Theorems for a Family of Asymptotically Nonexpansive Nonself Mappings

Fixed Point Theory and Applications20092010:218573

  • Received: 31 August 2009
  • Accepted: 16 November 2009
  • Published:


A one-step iteration with errors is considered for a family of asymptotically nonexpansive nonself mappings. Weak convergence of the purposed iteration is obtained in a Banach space.


  • Banach Space
  • Differential Geometry
  • Convergence Theorem
  • Weak Convergence
  • Computational Biology

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Authors’ Affiliations

School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, 316004, China
Department of Mathematics, Gyeongsang National University, Jinju, 660-701, South Korea
Department of Mathematics, Hangzhou Normal University, Hangzhou, 310036, China


© Yan Hao et al. 2010

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.