Strong statistical convergence in probabilistic metric spaces


Sencimen C., Pehlivan S.

STOCHASTIC ANALYSIS AND APPLICATIONS, cilt.26, sa.3, ss.651-664, 2008 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Konu: 3
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1080/07362990802007251
  • Dergi Adı: STOCHASTIC ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.651-664

Özet

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