Statistical and rough statistical convergence in an $S$-metric space

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2024Embargo end date: 01 Jan 2024 English Publisher:Element d.o.o.Journal:Journal of Classical Analysis (issn: 1848-5987,

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Authors: Khatun, Sukila; Banerjee, Amar Kumar;

doi: 10.7153/jca-2024-25-10 , 10.7153/jca-2025-25-10 , 10.48550/arxiv.2408.14973

arXiv: 2408.14973

Statistical and rough statistical convergence in an $S$-metric space

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Abstract

In this paper, using the concept of natural density, we have introduced the ideas of statistical and rough statistical convergence in an $S$-metric space. We have investigated some of their basic properties. We have defined statistical Cauchyness and statistical boundedness of sequences and then some results related these ideas have been studied. We have defined the set of rough statistical limit points of a sequence in an $S$-metric space and have proved some relevant results associated with such type of convergence

14 pages

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Keywords

40A05, 40A99, General Topology (math.GN), FOS: Mathematics, Mathematics - General Topology

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