Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Approximation of Common Fixed Points of Mean Non-expansive Mapping in Banach Spaces

  • Gu, Zhaohui (Cisco School of Informatics, Guangdong University of Foreign Studies) ;
  • Li, Yongjin (Department of Mathematics, Sun Yat-Sen University)
  • Received : 2012.03.19
  • Accepted : 2012.11.07
  • Published : 2014.03.23
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Abstract

Let X be a uniformly convex Banach space, and S, T be pair of mean nonexpansive mappings. Some necessary and sufficient conditions are given for Ishikawa iterative sequence converge to common fixed points, and we prove that the sequence of Ishikawa iterations associated with S and T converges to the common fixed point of S and T. This generalizes former results proved by Z. Gu and Y. Li [4].

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References

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