East Asian mathematical journal

  • 제28권5호
  • /
  • Pages.617-630
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  • 2012
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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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)
  • 투고 : 2012.10.09
  • 심사 : 2012.11.20
  • 발행 : 2012.11.30
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초록

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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참고문헌

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