East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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ON ITERATIVE APPROXIMATION OF COMMON FIXED POINTS OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS WITH APPLICATIONS

  • Kim, Jong Kyu (Department of Mathematics Education, Kyungnam University) ;
  • Qin, Xiaolong (School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power) ;
  • Lim, Won Hee (Department of Mathematics, Kyungnam University)
  • Received : 2012.10.09
  • Accepted : 2012.11.20
  • Published : 2012.11.30
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Abstract

In this paper, the problem of iterative approximation of common fixed points of asymptotically nonexpansive is investigated in the framework of Banach spaces. Weak convergence theorems are established. A necessary and sufficient condition for strong convergence is also discussed. As an application of main results, a variational inequality is investigated.

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References

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