Research Article

Preservation of certain notions under uniform conjugacy

Volume: 2 Number: 1 June 30, 2026

Preservation of certain notions under uniform conjugacy

Abstract

In this study, the preservation of several types of convergence, namely uniform convergence at a point, Cauchy alpha convergence and uniform alpha convergence, under uniform conjugacy is investigated. Furthermore, counterexamples are presented to demonstrate that these properties may not be preserved under topological conjugacy in certain cases.

Keywords

Ethical Statement

In the study, the authors declare that there is no violation of research and publication ethics and that the study does not require ethics committee approval.

References

  1. Athanassiadou E., Papachristodoulos C., & Papanastassiou N. (2015). 𝛼 and hyper 𝛼-convergence in function spaces. Questiones et Responsiones in General Topology, 33, pp. 1–16.
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  3. Banerjee, A. K., & Hossain, N. E. S. A. R. (2022). On I-convergence of sequences of functions and uniform conjugacy. Journal of Mathematical Analysis, 13(5), pp. 12-20.
  4. Carathéodory, C. (1929). Stetige konvergenz und normale Familien von Funktionen. Mathematische Annalen, 101(1), pp. 515-533.
  5. Caserta, A., Di Maio, G., & Holá, L. U. (2010). (Strong) weak exhaustiveness and (strong uniform) continuity. Filomat, 24(4), pp. 63-75.
  6. Caserta, A., & Kočinac, L. D. (2012). On statistical exhaustiveness. Applied Mathematics Letters, 25(10), pp. 1447-1451.
  7. Courant, R. (1914). Ueber eine Eigenschaft der Abbildungsfunktioen bei konformer Abbildung. Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse, pp. 101-109.
  8. Das, R., & Das, T. (2012). On Convergence of Sequences of real valued functions. Int. Journal of Math. Analysis, 6, pp. 783-792.

Details

Primary Language

English

Subjects

Pure Mathematics (Other)

Journal Section

Research Article

Publication Date

June 30, 2026

Submission Date

May 20, 2026

Acceptance Date

June 19, 2026

Published in Issue

Year 2026 Volume: 2 Number: 1

APA
Erdem, A., & Furat, E. (2026). Preservation of certain notions under uniform conjugacy. Mediterranean Journal of Engineering and Scientific Research, 2(1), 64-72. https://izlik.org/JA65RD47FK
AMA
1.Erdem A, Furat E. Preservation of certain notions under uniform conjugacy. Mediterranean Journal of Engineering and Scientific Research. 2026;2(1):64-72. https://izlik.org/JA65RD47FK
Chicago
Erdem, Alper, and Engin Furat. 2026. “Preservation of Certain Notions under Uniform Conjugacy”. Mediterranean Journal of Engineering and Scientific Research 2 (1): 64-72. https://izlik.org/JA65RD47FK.
EndNote
Erdem A, Furat E (June 1, 2026) Preservation of certain notions under uniform conjugacy. Mediterranean Journal of Engineering and Scientific Research 2 1 64–72.
IEEE
[1]A. Erdem and E. Furat, “Preservation of certain notions under uniform conjugacy”, Mediterranean Journal of Engineering and Scientific Research, vol. 2, no. 1, pp. 64–72, June 2026, [Online]. Available: https://izlik.org/JA65RD47FK
ISNAD
Erdem, Alper - Furat, Engin. “Preservation of Certain Notions under Uniform Conjugacy”. Mediterranean Journal of Engineering and Scientific Research 2/1 (June 1, 2026): 64-72. https://izlik.org/JA65RD47FK.
JAMA
1.Erdem A, Furat E. Preservation of certain notions under uniform conjugacy. Mediterranean Journal of Engineering and Scientific Research. 2026;2:64–72.
MLA
Erdem, Alper, and Engin Furat. “Preservation of Certain Notions under Uniform Conjugacy”. Mediterranean Journal of Engineering and Scientific Research, vol. 2, no. 1, June 2026, pp. 64-72, https://izlik.org/JA65RD47FK.
Vancouver
1.Alper Erdem, Engin Furat. Preservation of certain notions under uniform conjugacy. Mediterranean Journal of Engineering and Scientific Research [Internet]. 2026 Jun. 1;2(1):64-72. Available from: https://izlik.org/JA65RD47FK