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Research Article | Open Access

f-Statistical convergence on topological modules

Department of Mathematics, College of Engineering, University of Cadiz, Avda. de la Universidad de Cádiz 10, Puerto Real 11519, Spain
Department of Mathematics and Physical Sciences Education, Faculty of Education, Siirt University, The Kezer Campus, Kezer, 56100-Siirt, Turkey
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Abstract

The classical notion of statistical convergence has recently been transported to the scope of real normed spaces by means of the f-statistical convergence for f a modulus function. Here, we go several steps further and extend the f-statistical convergence to the scope of uniform spaces, obtaining particular cases of f-statistical convergence on pseudometric spaces and topological modules.

Keywords

f-statistical convergencestatistical convergenceuniform spacemetric spacetopological module

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Electronic Research Archive
Volume 30 Issue 6,
June 2022
Pages 2183-2195
DOI: 10.3934/era.2022110

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García-Pacheco FJ, Kama R. f-Statistical convergence on topological modules. Electronic Research Archive, 2022, 30(6): 2183-2195. https://doi.org/10.3934/era.2022110

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Received: 29 December 2021
Revised: 08 March 2022
Accepted: 25 March 2022
Published: 15 June 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)