This research enhances Matkowski’s fixed point theorem to incorporate generalized contractions within F-metric spaces. We establish a Ciri´c-type fixed point theorem for maps that satisfy a generalized contraction condition, demonstrating the existence and uniqueness of fixed points under more relaxed assumptions. We also explain how our conclusions can be used in dynamic programming to show that functional equations have solutions. Our results expand existing theorems and provide new perspectives on fixed point theory in F-metric spaces, offering a flexible framework for relaxing the conventional triangle inequality.
Khandani,H and Asadi,M . (2025). Generalized Contractions and Matkowski’s Fixed Point Theorem in F-Metric Spaces. Journal of Applied Mathematics & Data Analytics, 1(1), 22-31. doi: 10.311581/JAMDA.2508.1001.1.1.3
MLA
Khandani,H , and Asadi,M . "Generalized Contractions and Matkowski’s Fixed Point Theorem in F-Metric Spaces", Journal of Applied Mathematics & Data Analytics, 1, 1, 2025, 22-31. doi: 10.311581/JAMDA.2508.1001.1.1.3
HARVARD
Khandani H, Asadi M. (2025). 'Generalized Contractions and Matkowski’s Fixed Point Theorem in F-Metric Spaces', Journal of Applied Mathematics & Data Analytics, 1(1), pp. 22-31. doi: 10.311581/JAMDA.2508.1001.1.1.3
CHICAGO
H Khandani and M Asadi, "Generalized Contractions and Matkowski’s Fixed Point Theorem in F-Metric Spaces," Journal of Applied Mathematics & Data Analytics, 1 1 (2025): 22-31, doi: 10.311581/JAMDA.2508.1001.1.1.3
VANCOUVER
Khandani H, Asadi M. Generalized Contractions and Matkowski’s Fixed Point Theorem in F-Metric Spaces. JAMDA. 2025;1(1):22-31. doi: 10.311581/JAMDA.2508.1001.1.1.3
