On strong A^I-statistical convergence of sequences in probabilistic metric spaces

2022/08/05 by Malik, Prasanta, Das, Samiran
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2208.03010

Abstract

In this paper using a non-negative regular summability matrix A and a non-trivial admissible ideal I in ℕ we study some basic properties of strong A^I-statistical convergence and strong A^I-statistical Cauchyness of sequences in probabilistic metric spaces not done earlier. We also introduce strong A^{I^*}-statistical Cauchyness in probabilistic metric space and study its relationship with strong AA^I-statistical Cauchyness there. Further, we study some basic properties of strong A^I-statistical limit points and strong A^I-statistical cluster points of a sequence in probabilistic metric spaces.

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