Approximating common fixed points of nearly asymptotically nonexpansive mappings

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Abstract

We use an iteration scheme to approximate common fixed points of nearly asymptotically nonexpansive mappings. We generalize corresponding theorems of [1] to the case of two nearly asymptotically nonexpansivemappings and those of [9] not only to a larger class of mappings but also with better rate of convergence. © 2011 Editorial Board of Analysis in Theory and Applications and Springer-Verlag Berlin Heidelberg.
Original languageEnglish
Pages (from-to)76-91
Number of pages16
JournalAnalysis in Theory and Applications
Volume27
Issue number1
DOIs
StatePublished - Mar 1 2011

Keywords

  • common fixed point
  • iteration scheme
  • nearly asymptotically nonexpansive mapping
  • rate of convergence
  • weak and strong convergence

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