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arXiv · 1605.02212

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

Prasanta Malik·Argha Ghosh·Manojit Maity
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Abstract

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

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Prasanta Malik, Argha Ghosh, Manojit Maity. 2016-05-07. Strong $I$ AND $I^*$-statistically pre-Cauchy double sequences in Probabilistic Metric Spaces. https://arxiv.org/abs/1605.02212

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