New fixed point results in orthogonal b-metric spaces with related applications

Arul Joseph Gnanaprakasam, Gunaseelan Mani, Ozgur Ege, Ahmad Aloqaily, Nabil Mlaiki

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

In this article, we present the concept of orthogonal (Formula presented.) -almost Istr (Formula presented.) tescu contraction of types (Formula presented.) and (Formula presented.) 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.

Original languageEnglish
Article number677
Number of pages18
JournalMathematics
Volume11
Issue number3
DOIs
Publication statusPublished - Feb 2023

Open Access - Access Right Statement

© 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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