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Keywords = orthogonal Branciari b-metric space

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14 pages, 336 KiB  
Article
Solution to Integral Equation in an O-Complete Branciari b-Metric Spaces
by Menaha Dhanraj, Arul Joseph Gnanaprakasam, Gunaseelan Mani, Ozgur Ege and Manuel De la Sen
Axioms 2022, 11(12), 728; https://doi.org/10.3390/axioms11120728 - 13 Dec 2022
Cited by 7 | Viewed by 1688
Abstract
In this paper, we prove fixed point theorem via orthogonal Geraghty type α-admissible contraction map in an orthogonal complete Branciari b-metric spaces context. An example is presented to strengthen our main result. We provided an application to find the existence and [...] Read more.
In this paper, we prove fixed point theorem via orthogonal Geraghty type α-admissible contraction map in an orthogonal complete Branciari b-metric spaces context. An example is presented to strengthen our main result. We provided an application to find the existence and uniqueness of a solution to the Volterra integral equation. We have compared the approximate solution and exact solution numerically. Full article
(This article belongs to the Special Issue Fixed Point Theory and Its Related Topics III)
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