Lacunary statistical convergence in intuitionistic fuzzy n-normed linear spaces

نویسندگان

  • Mausumi Sen
  • Pradip Debnath
چکیده

In this article we introduce the notion of lacunary statistically convergent and lacunary statistically Cauchy sequences in intuitionistic fuzzy n-normed linear spaces and give their characterization. We show that some properties of lacunary statistical convergence of real sequences also hold for sequences in this space. Further, necessary and sufficient conditions for equality of the set of statistically convergent and lacunary statistically convergent sequences have been established. © 2011 Elsevier Ltd. All rights reserved.

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عنوان ژورنال:
  • Mathematical and Computer Modelling

دوره 54  شماره 

صفحات  -

تاریخ انتشار 2011