New Fixed Point Results in Orthogonal B-Metric Spaces with Related Applications

Arul Joseph Gnanaprakasam, Gunaseelan Mani, Ozgur Ege, Ahmad Aloqaily and Nabil Mlaiki ()
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Arul Joseph Gnanaprakasam: Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 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
Ahmad Aloqaily: Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Nabil Mlaiki: Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Mathematics, 2023, vol. 11, issue 3, 1-18

Abstract: In this article, we present the concept of orthogonal α -almost Istr a ˘ tescu contraction of types D and D * and prove some fixed point theorems on orthogonal b -metric spaces. We also provide an illustrative example to support our theorems. As an application, we establish the existence and uniqueness of the solution of the fractional differential equation and the solution of the integral equation using Elzaki transform.

Keywords: fixed point; orthogonal b -metric space; orthogonal ? -almost Istr ? tescu contractions; Elzaki transform convolution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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