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.

    Contact Details

    Telephone:
    Email: twms.aliev@gmail.com
    Website: www.twmsj.az

    Z.Khalilov str., 23, AZ 1148,
    Baku
    AZERBAIJAN