East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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APPROXIMATING COMMON FIXED POINTS OF ONE-STEP ITERATIVE SCHEME WITH ERROR FOR NON-SELF ASYMPTOTICALLY NONEXPANSIVE IN THE INTERMEDIATE SENSE MAPPINGS

  • Saluja, Gurucharan Singh (DEPARTMENT OF MATHEMATICS & INFORMATION TECHNOLOGY GOVT. NAGARJUN P.G. COLLEGE OF SCIENCE) ;
  • Nashine, Hemant Kumar (DEPARTMENT OF MATHEMATICS DISHA INSTITUTE OF MANAGEMENT AND TECHNOLOGY SATYA VIHAR, VIDHANSABHA-CHANDRAKHURI MARG)
  • Received : 2009.02.21
  • Accepted : 2010.04.19
  • Published : 2010.05.31
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Abstract

In this paper, we study a new one-step iterative scheme with error for approximating common fixed points of non-self asymptotically nonexpansive in the intermediate sense mappings in uniformly convex Banach spaces. Also we have proved weak and strong convergence theorems for above said scheme. The results obtained in this paper extend and improve the recent ones, announced by Zhou et al. [27] and many others.

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References

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