Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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STRONG CONVERGENCE OF HYBRID METHOD FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS AND SEMIGROUPS

  • Liu, Li (Department of Mathematics, Cangzhou Normal University) ;
  • Wang, Lijing (Department of Mathematics, Cangzhou Normal University) ;
  • Su, Yongfu (Department of Mathematics, Tianjin Polytechnic University)
  • Received : 2010.09.08
  • Accepted : 2010.10.13
  • Published : 2011.05.30
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Abstract

In this paper, some strong convergence theorems are obtained for hybrid method for modified Ishikawa iteration process of asymptotically nonexpansive mappings and asymptotically nonexpansive semigroups in Hilbert spaces. The results presented in this article generalize and improve results of Tae-Hwa Kim and Hong-Kun Xu and others. The convergence rate of the iteration process presented in this article is faster than hybrid method of Tae-Hwa Kim and Hong-Kun Xu and others.

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References

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