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Generalized F-iterated function systems on product of metric spaces


In this paper, we start from an F-contraction defined on a metric space X into itself, introduced by Wardowski [Fixed Point Theory Appl. 2012 (2012), doi:10.1186/1687-1812-2012-94], and extend it to the case of mappings defined on the space X I into X endowed with the supremum metric, where I is a set of positive integers. Next, we consider the generalized iterated function systems composed of F-contractions on X I improving some fixed point results from the classical Hutchinson–Barnsley theory of iterated function systems. Some illustrative examples are given.

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Correspondence to Nicolae-Adrian Secelean.

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Secelean, NA. Generalized F-iterated function systems on product of metric spaces. J. Fixed Point Theory Appl. 17, 575–595 (2015).

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Mathematics Subject Classification

  • Primary 28A80
  • Secondary 47H10
  • 54E50


  • F-contraction
  • generalized F-contraction
  • generalized iterated function system
  • attractor
  • Hausdorff–Pompeiu metric
  • fixed point