TARU PUBLICATIONS
Journal of Interdisciplinary Mathematics cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

Unique fixed point results in 2-metric spaces with α̈ - 𝔉 admissible mappings

, *

* Corresponding author · click or hover a name for details

pp. 2375–2381Vol. 29Issue 7July 2026DOI: 10.47974/JIM-2667XML
Article type:
Research Article
Language:
ENGLISH
Article no.:
JIM-2667
Pages:
2375–2381

Abstract

Fixed point theory has developed as a significant area of nonlinear analysis because of its wide applications in both theoretical and applied mathematics. In this paper, we study α̈-𝔉 contractive mapping in the setting of complete 2-metric spaces. By employing admissibility conditions Together with suitable properties of the control function F, several f.p results are established for the considered mapping.

Keywords

Subject Classifications

47H1054H2554E3554E50

References

[1] S. Banach, “Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales,” Fundamenta Mathematicae, vol. 3, no. 1, pp. 133–181 (1922).

[2] D. Barman, K. Sarkar, and K. Tiwary, “Common fixed point theorems using T-Hardy Rogers type contraction condition and F-contraction on a complete 2-metric space,” Electron. J. Math. Anal. Appl., vol. 8, no. 2, pp. 115–127 (2020).

[3] L. K. Dey, “Fixed point results concerning α-F contraction mappings in metric spaces,” Applied General Topology, vol. 20, no. 1, pp. 81–95 (2019).

[4] S. Gahler, “2-metrische raume und ihre topologische struktur,” Mathematische Nachrichten, vol. 26, pp. 115–118 (1963).

[5] K. Hemavathy and S. Thalapathiraj, “Common fixed point theorems for 2-metric space using various E.A properties,” IAENG International Journal of Applied Mathematics, vol. 53, no. 4, pp. 1308–1314 (2023).

[6] K. Hemavathy and S. Thalapathiraj, “On Certain Fixed Point Theorems for F-Contractions in 2-Metric Spaces and their Application,” Results in Non-linear Analysis, vol. 8, no. 1, pp. 1–12 (2024).

[7] K. Hemavathy and S. Thalapathiraj, “Integral-Type Contractions and Weakly Compatible Mappings in 2-Metric Spaces,” Journal of Interdisciplinary Mathematics, vol. 28, no. 5, pp. 1893–1899 (2025).

[8] N. Hussain, E. Karapinar, P. Salimi, and F. Akbar, “α-admissible mappings and related fixed point theorems,” Journal of Inequalities and Applications, vol. 2013, Art. no. 114, pp. 1–11 (Mar. 2013), doi: 10.1186/1029-242X-2013-114.

[9] D. Wardowski, “Fixed point results concerning α − F contraction mappings in metric spaces,” Applied General Topology, vol. 20, no. 1, PP. 81-95 (2019).

Views: 93Downloads: 63Citations: 0