Common fixed points of two quasi-contractive operators in normed spaces by iteration

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Abstract

We prove a theorem to approximate common fixed points of two quasi-contractive operators on a normed space through an iteration process with errors and more general than the Ishikawa iteration process. Our result generalizes and improves upon, among others, the corresponding result of Berinde [1] in the following two different directions: (i) more general iteration process with error terms (ii) wider class of mappings.
Original languageEnglish
Pages (from-to)145-151
Number of pages7
JournalInternational Journal of Mathematical Analysis
Volume3
Issue number3
StatePublished - Mar 26 2009

Keywords

  • Common fixed point
  • Iteration process
  • Quasi-contractive operator
  • Strong convergence

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