New Fixed Point Results in Orthogonal B-Metric Spaces with Related Applications-Reference-Cited by-同舟云学术

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

Published:2023-01-28 Issue:3 Volume:11 Page:677
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Gnanaprakasam Arul Joseph¹,Mani Gunaseelan²^ORCID,Ege Ozgur³^ORCID,Aloqaily Ahmad⁴⁵^ORCID,Mlaiki Nabil⁴^ORCID

Affiliation:

1. Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603203, India

2. Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India

3. Department of Mathematics, Ege University, Bornova, Izmir 35100, Turkey

4. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

5. School of Computer, Data and Mathematical Sciences, Western Sydney University, Sydney 2150, Australia

Abstract

In this article, we present the concept of orthogonal α-almost Istra˘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.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/3/677/pdf

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