Lacunary statistical convergence of sequences of functions in intuitionistic fuzzy normed space

  • Authors:
  • Vatan Karakaya;Necip Simsek;Faik Gürsoy;Müzeyyen Ertürk

  • Affiliations:
  • Department of Mathematical Engineering, Yildiz Technical University, Esenler, Istanbul, Turkey;Department of Mathematics, Istanbul Commerce University, Uskudar, Istanbul, Turkey;Department of Mathematics, Yildiz Technical University, Davutpasa Campus, Esenler, Istanbul, Turkey;Department of Mathematics, Yildiz Technical University, Davutpasa Campus, Esenler, Istanbul, Turkey

  • Venue:
  • Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
  • Year:
  • 2014

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Abstract

In this paper we study lacunary statistical convergence of sequences of functions in intuitionistic fuzzy normed spaces. We define concept of lacunary statistical pointwise convergence and lacunary statistical uniform convergence in intuitionistic fuzzy normed spaces and we give some basic properties of these concepts.