Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON ALGEBRA OF LACUNARY STATISTICAL LIMIT OF DOUBLE SEQUENCES IN INTUITIONISTIC FUZZY NORMED SPACE

  • SHAILENDRA PANDIT (Department of Mathematics, National Institute of technology) ;
  • AYAZ AHMAD (Department of Mathematics, National Institute of technology)
  • Received : 2022.03.05
  • Accepted : 2022.12.06
  • Published : 2023.05.30
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Abstract

In 2005, Patterson studied lacunary statistical convergence of double sequences of real numbers and, in 2009, Mursaleen introduced notion of lacunary statistical convergence of single sequences in intuitionistic fuzzy normed space. The current work intends to investigate the lacunary statistical convergence of double sequences and some significant conclusions on the algebra of the lacunary statistical limit of double sequences in intuitionistic fuzzy normed space. In addition, we have studied some examples to support the definitions.

Keywords

Acknowledgement

The authors are grateful to the referee and editing team for their suggestions to improve the work's quality.

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