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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

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Open Access Research Article

Fixed point theorems in fuzzy partial metric spaces

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pp. 975–986Vol. 29Issue 4April 2026DOI: 10.47974/JIM-2411XML
Received:
01 Nov 2025
Published Online:
09 Apr 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2411
Pages:
975–986

Abstract

Main focus of this paper is to introduce fixed point (FP) results in the context of fuzzy partial metric spaces (FPMS). Using control operations, we initiate recent contractive conditions and demonstrate the permanence and distinctiveness of fixed points (FP) of self-functions. Our results generalize the theorems existing in the spaces of a partially metric and a fuzzy metric (FMS). By examples, we demonstrate the usefulness of our findings. The presented work is a combination and generalization of several known facts in the earlier works.

Keywords

Subject Classifications

47H1054E70

References

[1] L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, no. 3, pp. 338–353 (1965).
[2] S. Banach, “Sur les opérations dans les ensembles abstraits,” Fundamenta Mathematicae, vol. 3, pp. 133–181 (1922).
[3] S. G. Matthews, “Partial metric topology,” Annals of the New York Academy of Sciences, vol. 728, pp. 183–197 (1994).
[4] I. Kramosil and J. Michalek, “Fuzzy metrics and statistical metric spaces,” Kybernetika, vol. 11, pp. 336–344 (1975).
[5] A. George and P. Veeramani, “On some results in fuzzy metric spaces,” Fuzzy Sets and Systems, vol. 64, pp. 395–399 (1994).
[6] V. Gregori and A. Sapena, “On fixed-point theorems in fuzzy metric spaces,” Fuzzy Sets and Systems, vol. 125, pp. 245–252 (2002).
[7] D. Wardowski, “Fuzzy contractive mappings and fixed points,” Fuzzy Sets and Systems, vol. 222, pp. 108–114 (2013).
[8] P. Tirado, “Contraction mappings in fuzzy quasi-metric spaces”, Fixed Point Theory, vol. 13, pp. 273–283 (2012).
[9] H. Huang, B. Carić, T. Došenović, D. Rakić, and M. Brdar, “Fixed-point theorems via fuzzy F-contraction,” Mathematics, vol. 9, art. no. 641 (2021).
[10] A. Moussaoui, F. I. A. Amir, and M. El Omari, “Fixed-point results connected to fuzzy F-contraction and simulation functions with application,” Fixed Point Theory and Algorithms for Sciences and Engineering, vol. 14 (2025).
[11] M. Aamri and D. El Moutawakil, “Some new common fixed-point theorems under strict contractive conditions,” Journal of Mathematical Analysis and Applications, vol. 270, pp. 181–188 (2002).
[12] G. Jungck, “Common fixed points for noncontinuous nonself maps on nonmetric spaces,” Far East Journal of Mathematical Sciences, vol. 4, pp. 199–215 (1996).
[13] M. Abbas, M. De la Sen, and T. Nazir, “Common fixed points of generalized rational type cocyclic mappings in non-Archimedean metric spaces,” Discrete Dynamics in Nature and Society, vol. 2015, Art. no. 532725, pp. 1–10 (2015).
[14] A. G. Jasim, I. Harbi, and A. S. Mohammed, “On coupled fixed point theorem in partially fuzzy Fréchet space,” Journal of Interdisciplinary Mathematics, vol. 28, no. 3-A, pp. 787–793 (2025), doi: 10.47974/JIM-1974.
[15] A. G. Jasim, A. A. Sangoor, A. S. Mohammed, T. H. Dahess, and A. H. Kamil, “Common fixed-point theorem in fuzzy Fréchet space,” Journal of Interdisciplinary Mathematics, vol. 27, no. 4, pp. 843–847 (2024), doi: 10.47974/JIM-1881.
[16] S. E. Ali and M. A. A. Al-Yaseen, “Expansivity and shadowing in fuzzy metric space,” Journal of Interdisciplinary Mathematics, vol. 27, no. 4, pp. 753–760 (2024), doi: 10.47974/JIM-1765.
[17] R. D. Mohanraj and C. Rajesh, “Fixed point results using self-mapping in multiplicative metric space,” Journal of Interdisciplinary Mathematics, vol. 28, no. 5, pp. 1723–1734 (2025), doi: 10.47974/JIM-2142.
[18] S. Siddamsetti, H. Z. Almngoshi, K. Dinesh, G. C. Prashant, M. A. Bennet, P. Dadheech, and S. Sengan, “Modular metric spaces: Some fixed-point theorems and application of secure dynamic routing for WSN,” Journal of Interdisciplinary Mathematics, vol. 27, no. 2, pp. 393–401 (2024), doi: 10.47974/JIM-1890.

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