East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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STRONG CONVERGENCE OF MODIFIED ISHIKAWA ITERATION FOR TWO RELATIVELY NONEXPANSIVE MAPPINGS IN A BANACH SPACE

  • Liu, Ying (College of Mathematics and Computer Hebei University) ;
  • Wang, Xian (College of Mathematics and Computer Hebei University) ;
  • He, Zhen (College of Mathematics and Computer Hebei University)
  • Received : 2008.09.22
  • Accepted : 2008.12.15
  • Published : 2009.03.31
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Abstract

In this paper, we prove a strong convergence theorem for a common fixed point of two relatively nonexpansive mappings in a Banach space by using the modified Ishikawa iteration method. Our results improved and extend the corresponding results announced by many others.

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References

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