On Ideal Convergence of Double Sequences in the Topology Induced by a Fuzzy 2-norm

نویسندگان

  • LJUBIŠA D.R. KOČINAC
  • MOHAMMAD H.M. RASHID
چکیده

In this paper we introduce and investigate I2-convergence, I∗ 2 -convergence, I2-limit points, and I2-cluster points of a double sequence in a fuzzy 2-normed linear space. We prove a decomposition theorem for I2-convergence of double sequences. The notions of I2-double Cauchy and I∗ 2 -double Cauchy sequence are defined, and some of their properties are studied.

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تاریخ انتشار 2017