Common Fixed Point Theorems on Orthogonal Branciari Metric Spaces with an Application

In this article, we modify the symmetry of orthogonal metric spaces and we prove common fixed point theorems via simulation functions in orthogonal Rectangular metric spaces. We also provide an illustrative example to support our results. The derived results have been applied to find analytical solu...

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Bibliographic Details
Published in:Symmetry (Basel) 2022-11, Vol.14 (11), p.2420
Main Authors: Mani, Gunaseelan, Prakasam, Senthil Kumar, Gnanaprakasam, Arul Joseph, Ramaswamy, Rajagopalan, Abdelnaby, Ola A. Ashour, Khan, Khizar Hyatt, Radenović, Stojan
Format: Article
Language:English
Subjects:
Exact solutions
fixed point
Fixed points (mathematics)
Integral equations
Mapping
Metric space
orthogonal Rectangular metric space
orthogonal α-admissible functions
Simulation
simulation functions
Theorems
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Summary:In this article, we modify the symmetry of orthogonal metric spaces and we prove common fixed point theorems via simulation functions in orthogonal Rectangular metric spaces. We also provide an illustrative example to support our results. The derived results have been applied to find analytical solutions to integral equations. The analytical solutions are verified with a numerical simulation.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym14112420