In this paper, we consider and extend some fixed point results in F-complete F-metric spaces by relaxing the symmetry of complete metric spaces. We generalize α,β-admissible mappings in the setting of F-metric spaces. The derived results are supplemented with suitable examples, and the obtained results are applied to find the existence of the solution to the integral equation. The analytical results are compared through numerical simulation. We pose certain open problems for extending and applying our results in the future.
Кључне речи:
(α, β)-admissible mapping / F-complete / fixed point / F-metric space
Извор:
Symmetry, 2022, 14, 11, 2429-
Финансирање / пројекти:
Prince Sattam bin Abdulaziz University project number [PSAU/2023/R/1444]
TY - JOUR
AU - Faraji, Hamid
AU - Mirkov, Nikola
AU - Mitrović, Zoran D.
AU - Ramaswamy, Rajagopalan
AU - Abdelnaby, Ola A. Ashour
AU - Radenović, Stojan
PY - 2022
UR - https://vinar.vin.bg.ac.rs/handle/123456789/13679
AB - In this paper, we consider and extend some fixed point results in F-complete F-metric spaces by relaxing the symmetry of complete metric spaces. We generalize α,β-admissible mappings in the setting of F-metric spaces. The derived results are supplemented with suitable examples, and the obtained results are applied to find the existence of the solution to the integral equation. The analytical results are compared through numerical simulation. We pose certain open problems for extending and applying our results in the future.
T2 - Symmetry
T2 - Symmetry
T1 - Some New Results for (α, β)-Admissible Mappings in 𝔽-Metric Spaces with Applications to Integral Equations
VL - 14
IS - 11
SP - 2429
DO - 10.3390/sym14112429
ER -
@article{
author = "Faraji, Hamid and Mirkov, Nikola and Mitrović, Zoran D. and Ramaswamy, Rajagopalan and Abdelnaby, Ola A. Ashour and Radenović, Stojan",
year = "2022",
abstract = "In this paper, we consider and extend some fixed point results in F-complete F-metric spaces by relaxing the symmetry of complete metric spaces. We generalize α,β-admissible mappings in the setting of F-metric spaces. The derived results are supplemented with suitable examples, and the obtained results are applied to find the existence of the solution to the integral equation. The analytical results are compared through numerical simulation. We pose certain open problems for extending and applying our results in the future.",
journal = "Symmetry, Symmetry",
title = "Some New Results for (α, β)-Admissible Mappings in 𝔽-Metric Spaces with Applications to Integral Equations",
volume = "14",
number = "11",
pages = "2429",
doi = "10.3390/sym14112429"
}
Faraji, H., Mirkov, N., Mitrović, Z. D., Ramaswamy, R., Abdelnaby, O. A. A.,& Radenović, S.. (2022). Some New Results for (α, β)-Admissible Mappings in 𝔽-Metric Spaces with Applications to Integral Equations. in Symmetry, 14(11), 2429.
https://doi.org/10.3390/sym14112429
Faraji H, Mirkov N, Mitrović ZD, Ramaswamy R, Abdelnaby OAA, Radenović S. Some New Results for (α, β)-Admissible Mappings in 𝔽-Metric Spaces with Applications to Integral Equations. in Symmetry. 2022;14(11):2429.
doi:10.3390/sym14112429 .
Faraji, Hamid, Mirkov, Nikola, Mitrović, Zoran D., Ramaswamy, Rajagopalan, Abdelnaby, Ola A. Ashour, Radenović, Stojan, "Some New Results for (α, β)-Admissible Mappings in 𝔽-Metric Spaces with Applications to Integral Equations" in Symmetry, 14, no. 11 (2022):2429,
https://doi.org/10.3390/sym14112429 . .
