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Solution to Integral Equation in an O-Complete Branciari b-Metric Spaces

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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… Click to show full 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 uniqueness of a solution to the Volterra integral equation. We have compared the approximate solution and exact solution numerically.

Keywords: integral equation; complete branciari; solution; metric spaces; branciari metric

Journal Title: Axioms
Year Published: 2022

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