English

Strong $I$ AND $I^*$-statistically pre-Cauchy double sequences in Probabilistic Metric Spaces

Functional Analysis 2019-07-09 v1

Abstract

In this paper we consider the notion of strong II-statistically pre-Cauchy double sequences in probabilistic metric spaces in line of Das et. al. [6] and introduce the new concept of strong II^*-statistically pre-Cauchy double sequences in real line as well as in probabilistic metric spaces. We mainly study inter relationship among strong II-statistical convergence, strong II-statistical pre-Cauchy condition and strong II^*-statistical pre-Cauchy condition for double sequences in probabilistic metric spaces and examine some basic properties of these notions.

Keywords

Cite

@article{arxiv.1605.02212,
  title  = {Strong $I$ AND $I^*$-statistically pre-Cauchy double sequences in Probabilistic Metric Spaces},
  author = {Prasanta Malik and Argha Ghosh and Manojit Maity},
  journal= {arXiv preprint arXiv:1605.02212},
  year   = {2019}
}