ON SEQUENCE CONVERGENCE IN (3, j)-METRIC SPACES, j ∈ {1, 2}

Authors

  • Donco Dimovski Macedonian Academy of Sciences and Arts image/svg+xml Author
  • Pavel Dimovski Ss. Cyril and Methodius University in Skopje image/svg+xml Author
  • Tomi Dimovski Ss. Cyril and Methodius University in Skopje image/svg+xml Author

DOI:

https://doi.org/10.37560/matbil2448117d

Keywords:

\((3, 1, \rho)\)-metric space, \((3, 2, \rho)\)-metric space, \((3, 1)\)-metric space, \((3, 2)\)-metric space

Abstract

In this article, we show that a convergent sequence in \((3, 2)\)-metric spaces has a unique limit. We give several examples in \((3, 1, \rho)\)-metric spaces and \((3, 1)\)-metric spaces in which a convergent sequence has more than one limit. We obtain sufficient conditions for a sequence in \((3, 1)\)-metric space to have a unique limit.

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Published

2024-05-07

Issue

Vol. 48 No. 1 (2024): 48 (LXXIV) 1 (2024)

Section

Articles

License

Copyright (c) 2024 Matematichki Bilten

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
D. Dimovski, P. Dimovski, and T. Dimovski, “ON SEQUENCE CONVERGENCE IN (3, j)-METRIC SPACES, j ∈ {1, 2}”, Mat. Bilt., vol. 48, no. 1, pp. 17–25, May 2024, doi: 10.37560/matbil2448117d.