Advances in Difference Equations (Sep 2019)

On some results in intuitionistic fuzzy ideal convergence double sequence spaces

  • Vakeel A. Khan,
  • Mobeen Ahmad,
  • Hira Fatima,
  • Mohd Faisal Khan

DOI
https://doi.org/10.1186/s13662-019-2306-y
Journal volume & issue
Vol. 2019, no. 1
pp. 1 – 10

Abstract

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Abstract Recently, spaces of ideal convergent sequences of bounded linear operators were studied by Khan et al. (Numer. Funct. Anal. Optim. 39:1278-1290, 2018). This has motivated us to propose the intuitionistic fuzzy I-convergent double sequence spaces determined by the bounded linear operator. In this paper, we investigate the algebraic and topological properties. We also study the concept of the ideal Cauchy and ideal convergence on the said spaces.

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