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- Title
Development of Fixed Point Results for α Γ - F -Fuzzy Contraction Mappings with Applications.
- Authors
Sessa, Salvatore; Jahangeer, Fahad; Kattan, Doha A.; Ishtiaq, Umar
- Abstract
This manuscript contains several fixed point results for α Γ -F-fuzzy contractive mappings in the framework of orthogonal fuzzy metric spaces. The symmetric property guarantees that the distance function is consistent and does not favour any one direction in orthogonal fuzzy metric spaces. No matter how the points are arranged, it enables a fair assessment of the separations between all of them. In fixed point results, the symmetry condition is preserved for several types of contractive self-mappings. Moreover, we provide several non-trivial examples to show the validity of our main results. Furthermore, we solve non-linear fractional differential equations, the Atangana–Baleanu fractional integral operator and Fredholm integral equations by utilizing our main results.
- Subjects
MATHEMATICAL mappings; FREDHOLM operators; NONLINEAR differential equations; METRIC spaces; INTEGRAL operators; INTEGRAL equations
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 7, p1300
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15071300