Contents V.8, N.1, 2017

  • ON IDEAL CONVERGENCE OF DOUBLE SEQUENCES IN THE TOPOLOGY INDUCED BY A FUZZY 2-NORM
    L.D.R.Kočinac, M.H.M.Rashid (pp. 97-111)

    • Abstract.

    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.

    Keywords:

    fuzzy number, fuzzy normed space, ideal convergence, ideal Cauchy sequence.

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