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Fixed Point Methodologies for Orthogonal (Π , ξ )-Weak Contraction Mappings in Orthogonal Branciari Metric Spaces with Applications

Article

Last updated: 29 Dec 2024

Subjects

-

Tags

Pure mathematics

Abstract

The target of this paper is to obtain some fixed point results for generalized orthogonal (Π , ξ )-weak contraction mappings in the setting of orthogonal Branciari metric spaces. Also, auxiliary functions are given to help prove our results. Moreover, Some of the consequences that can be obtained from the main theorem are presented in the form of corollaries. Ultimately, the theoretical result is applied to obtain the solution of a differential equation as reinforcement and support for the results shown.

DOI

10.21608/sjsci.2024.252257.1158

Keywords

Orthogonal Branciari metric spaces, Lower limit, Fixed point technique, Existence solution, Differential Equation

Authors

First Name

Gunasekaran

Last Name

Nallaselli

MiddleName

-

Affiliation

Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur-603203, Kanchipuram, Chennai, Tamil Nadu, India.

Email

gn4255@srmist.edu.in

City

-

Orcid

-

First Name

Arul

Last Name

Gnanaprakasam

MiddleName

J.

Affiliation

Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur-603203, Kanchipuram, Chennai, Tamil Nadu, India.

Email

aruljoseph.alex@gmail.com

City

-

Orcid

-

First Name

Hasanen

Last Name

Hammad

MiddleName

A.

Affiliation

Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt.

Email

hassanein_hamad@science.sohag.edu.eg

City

Sohag

Orcid

-

Volume

9

Article Issue

2

Related Issue

44506

Issue Date

2024-06-01

Receive Date

2023-11-30

Publish Date

2024-03-01

Page Start

198

Page End

205

Print ISSN

2357-0938

Online ISSN

2974-4296

Link

https://sjsci.journals.ekb.eg/article_342868.html

Detail API

https://sjsci.journals.ekb.eg/service?article_code=342868

Order

342,868

Type

Regular Articles

Type Code

2,359

Publication Type

Journal

Publication Title

Sohag Journal of Sciences

Publication Link

https://sjsci.journals.ekb.eg/

MainTitle

Fixed Point Methodologies for Orthogonal (Π , ξ )-Weak Contraction Mappings in Orthogonal Branciari Metric Spaces with Applications

Details

Type

Article

Created At

29 Dec 2024