On Ideal Convergence of Double Sequences in Probabilistic Normed Spaces
نویسنده
چکیده
One of the generalizations of statistical convergence is I-convergence which was introduced by Kostyrko et al. [12]. In this paper, we define and study the concept of I-convergence, I∗-convergence, I-limit points and I-cluster points of double sequences in probabilistic normed space. We discuss the relationship between I2-convergence and I ∗ 2 -convergence, i.e., we show that I ∗ 2 -convergence implies I2convergence in probabilistic normed space. Furthermore, we have also demonstrated through an example that, in general, I2-convergence does not imply I ∗ 2 convergence in probabilistic normed space.
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