[1] L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, pp. 338-353 (1965).
[2] M. Grabiec, “Fixed points in fuzzy metric spaces,” Fuzzy Sets and Systems, vol. 27, no. 3, pp. 385-389 (1988).
[3] A. George and P. Veeramani, “On some results in fuzzy metric spaces,” Fuzzy Sets and Systems, vol. 64, no. 3, pp. 395-399 (1994).
[4] V. Gregori and A. Sapena, “On fixed-point theorems in fuzzy metric spaces,” Fuzzy Sets and Systems, vol. 125, no. 2, pp. 245-252 (2002).
[5] V. Gregori, S. Morillas, and A. Sapena, “Examples of fuzzy metrics and applications,” Fuzzy Sets and Systems, vol. 170, pp. 95-111 (2011).
[6] I. Kramosil and J. Michalek, “Fuzzy metrics and statistical metric spaces,” Kybernetika, vol. 11, no. 5, pp. 336-344 (1975).
[7] B. Schweizer and A. Sklar, “Statistical metric spaces,” Pacific Journal of Mathematics, vol. 10, no. 1, pp. 313-334 (1960).
[8] S. Lipschutz, Schaum’s Outline of Theory and Problems of Set Theory and Related Topics. New York, NY, USA: McGraw-Hill (1976).
[9] R. Maddux, “Boolean algebras,” Studies in Logic and the Foundations of Mathematics, vol. 150, Elsevier, Amsterdam, Netherlands (2006).
[10] Abdelhamid Moussaoui, “Exploring fixed points via admissibility criteria for fuzzy θf-weak contractions,” Nonlinear Analysis: Modelling and Control, vol. 30, no. 6, pp. 1067-1080 (2025).
[11] A. Alam and M. Imdad, “Relation-theoretic contraction principle,” Journal of Fixed Point Theory and Applications, vol. 17, pp. 693-702 (2015).
[12] W. M. Alfaqih, B. Ali, M. Imdad, and S. Sessa, “Fuzzy relation-theoretic contraction principle,” Journal of Intelligent and Fuzzy Systems, vol. 40, pp. 4491-4501 (2021).
[13] B. Kolman, R. C. Busby, and S. Ross, Discrete Mathematical Structures, 3rd ed. New Delhi, India: PHI Pvt. Ltd. (2000).
[14] D. Mihet, “Fuzzy ψ-contractive mappings in non-Archimedean fuzzy metric spaces,” Fuzzy Sets and Systems, vol. 159, no. 6, pp. 739-744 (2008).
[15] D. Wardowski, “Fuzzy contractive mappings and fixed points in fuzzy metric spaces,” Fuzzy Sets and Systems, vol. 222, pp. 108-114 (2013).
[16] F. Khojasteh, S. Shukla, and S. Radenović, “A new approach to the study of fixed point theory for simulation functions,” Filomat, vol. 29, no. 6, pp. 1189-1194 (2015).
[17] S. Melliani and A. Moussaoui, “Fixed point theorem using a new class of fuzzy contractive mappings,” Journal of Universal Mathematics, vol. 1, no. 2, pp. 148-154 (2018).
[18] A. Moussaoui, N. Hussain, S. Melliani, N. Hayel, and M. Imdad, “Fixed point results via extended FZ-simulation functions in fuzzy metric spaces,” Journal of Inequalities and Applications, vol. 2022, Article 69 (2022).
[19] A. Moussaoui, N. Hussain, and S. Melliani, “Global optimal solutions for proximal fuzzy contractions involving control functions,” Journal of Mathematics, vol. 2021.
[20] M. Hasanuzzaman and M. Imdad, “Relation-theoretic metrical fixed point results for Suzuki type ZR-contraction with an application,” AIMS Mathematics, vol. 5, no. 3, pp. 2071-2087 (2020).
[21] W. M. Alfaqih, M. Imdad, R. Gubran, and I. A. Khan, “Relation-theoretic coincidence and common fixed point results under (ℱ,ℛ)g-contractions with an application,” Fixed Point Theory and Applications, vol. 2019, Article 12.
[22] M. Imdad, Q. Khan, W. M. Alfaqih, and R. Gubran, “A relation-theoretic (ℱ,ℛ)-contraction principle with applications to matrix equations,” Bulletin of Mathematical Analysis and Applications, vol. 10, pp. 1-12 (2018).
[23] A. Moussaoui, N. Saleem, S. Melliani, and M. Zhou, “Fixed point results for new types of fuzzy contractions via admissible functions and FZ-simulation functions,” Axioms, vol. 11, Article 87 (2022).
[24] S. M. Saleh, W. M. Alfaqih, S. Sessa, and F. Di Martino, “New relation-theoretic fixed point theorems in fuzzy metric spaces with an application to fractional differential equations,” Axioms, vol. 11, Article 117 (2022).
[25] K. Javed, F. Uddin, H. Aydi, A. Mukheimer, and M. Arshad, “Ordered-theoretic fixed point results in fuzzy b-metric spaces with an application,” Journal of Mathematics, vol. 2021, Article ID 6663707, 7 pages (2021).
[26] S. Antal, A. Tomar, and U. Gairola, “Relation theoretic results via simulation function with applications,” International Journal of Nonlinear Analysis and Applications, vol. 13, no. 1, pp. 1769-1783 (2022).
[27] M. Turinici, “Abstract comparison principles and multivariable Gronwall-Bellman inequalities,” Journal of Mathematical Analysis and Applications, vol. 117, pp. 100-127 (1986).
[28] A. C. Ran and M. C. Reurings, “A fixed point theorem in partially ordered sets and some applications to matrix equations,” Proceedings of the American Mathematical Society, vol. 132, pp. 1435-1443 (2004).
[29] D. Gopal and C. Vetro, “Some new fixed point theorems in fuzzy metric spaces,” Iranian Journal of Fuzzy Systems, vol. 11, no. 3, pp. 95-107 (2014).
[30] A. Moussaoui, S. Radenović, and S. Melliani, “Fixed point theorems involving ℱ𝒵-ϑf-contractions in GV-fuzzy metrics,” Filomat, vol. 38, no. 6, pp. 1973-1985 (2024).
[31] M. Sangurlu, H. Isik, and D. Turkoglu, “A new method for some fixed point theorems in fuzzy metric spaces,” Bangmod International Journal of Mathematical and Computer Sciences, vol. 3, pp. 10-15 (2017).
[32] A. Moussaoui, C. Park, and S. Melliani, “New best proximity point results via simulation functions in fuzzy metric spaces,” Boletim da Sociedade Paranaense de Matemática, vol. 43 (2025).
[33] N. S. Hayel, I. A. Khan, M. Imdad, and W. M. Alfaqih, “New fuzzy φ-fixed point results employing a new class of fuzzy contractive mappings,” Journal of Intelligent and Fuzzy Systems, vol. 37, no. 4, pp. 5391-5402 (2019).
[34] A. Moussaoui, S. Radenović, O. T. Birgani, and S. Melliani, “A new contraction principle via fuzzy L-simulation functions,” Boletim da Sociedade Paranaense de Matemática, vol. 43 (2025).
[35] S. Ur Rehman and H. Aydi, “Rational fuzzy cone contractions on fuzzy cone metric spaces with an application to Fredholm integral equations,” Journal of Function Spaces, vol. 2021, Article ID 5527864, 13 pages (2021).
[36] A. Moussaoui, S. Melliani, and S. Radenović, “A nonlinear fuzzy contraction principle via control functions,” Filomat, vol. 38, no. 6, pp. 1963-1972 (2024).
[37] A. Moussaoui, F. A. I. Amir, S. Radenović, S. Melliani, and M. Elomari, “Fixed point theorems for ξ-α-η-ΓF-fuzzy contraction with an application to neutral fractional integro-differential equations with nonlocal conditions,” Nonlinear Analysis: Modelling and Control, vol. 29, no. 5, pp. 939–957 (2024).
[38] A. Moussaoui and S. Melliani, “Fixed point results under admissible α-η-F simulation fuzzy contraction with application,” International Journal of System Assurance Engineering and Management, vol. 15, pp. 3807–3816 (2024).
[39] R. Batra, R. Gupta, and P. Sahni, “Some results related to fixed points of F-G-contractions on metric spaces equipped with w-distance,” Journal of Interdisciplinary Mathematics, vol. 23, no. 2, pp. 413–423 (2020).
[40] S. H. Hadi and Z. S. Madhi, “Fixed-point theorems of FR-Ćirić-Pata type in Fuzzy-Riesz I-Convex Metric Space (FRCMS),” Journal of Interdisciplinary Mathematics, vol. 24, no. 8, pp. 2181–2193 (2021).
[41] A. Moussaoui and S. Radenovi/c, “Fuzzy metric spaces: a survey on fixed point results, contraction principles and simulation functions,” Fixed Point Theory Algorithms Sci. Eng., vol. 2025, Article 24 (2025).