Solution to Integral Equation in an <i>O</i>-Complete Branciari <i>b</i>-Metric Spaces
Menaha Dhanraj,
Arul Joseph Gnanaprakasam,
Gunaseelan Mani,
Ozgur Ege,
Manuel De la Sen
Affiliations
Menaha Dhanraj
Department of Mathematics, Faculty of Engineering and Technology, College of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur, Kanchipuram 603203, India
Arul Joseph Gnanaprakasam
Department of Mathematics, Faculty of Engineering and Technology, College of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur, Kanchipuram 603203, India
Gunaseelan Mani
Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India
Ozgur Ege
Department of Mathematics, Ege University, Bornova, Izmir 35100, Turkey
Manuel De la Sen
Institute of Research and Development of Processes, University of the Basque Country, 48940 Leioa, Spain
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.
