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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/119/03/0401-0410

    • Keywords

       

      Probabilistic metric space; strong topology; strong ideal convergence; strong ideal Cauchy sequence; strong ideal limit point; strong ideal cluster point.

    • Abstract

       

      In the present paper we introduce the concepts of strongly ideal convergent sequence and strong ideal Cauchy sequence in a probabilistic metric (PM) space endowed with the strong topology, and establish some basic facts. Next, we define the strong ideal limit points and the strong ideal cluster points of a sequence in this space and investigate some properties of these concepts.

    • Author Affiliations

       

      Celaleddin Şençimen1 Serpil Pehlivan2

      1. Faculty of Arts and Sciences, Department of Mathematics, Mehmet Akif Ersoy University, Burdur, Turkey
      2. Faculty of Arts and Sciences, Department of Mathematics, Süleyman Demirel University, Isparta, Turkey
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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