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303147

Partial 2-Metric Spaces for Cyclic (ψ,φ,A,B)-Contractions in Fixed Point Theorems

Article

Last updated: 24 Dec 2024

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Abstract

There are a lot of generalizations of the concept of metric space . In this paper we using some fixed point theorems in partial 2- metric spaces and given an examples in it . And We propose the idea of Cyclic (ψ,φ,A,B)- Contraction in partial 2- metric spaces and investigate fixed point theorems for mappings meeting cyclical generalised contractive requirements in full partial 2-metric spaces in this research . The goal of this paper is to present some fixed point theorems for a mapping meeting a cyclical generalised contractive condition in partial 2- metric spaces based on a pair of altering distance functions . We establish that these mappings necessarily have unique fixed points in complete 2- metric spaces . Fixed point theorems for some contractions from this class are introduced and illustrative examples are given .
Our results in that paper also generalises an existing result in 2- metric spaces .

DOI

10.21608/bfszu.2022.135293.1132

Keywords

2-metric spaces, best proximity, fixed point, contractive conditions, cyclic map

Authors

First Name

Eman

Last Name

Safaa

MiddleName

-

Affiliation

Department of Maths, Faculty of science , Zagazig University

Email

dr.emansafaa@gmail.com

City

Egypt

Orcid

-

First Name

Hassan

Last Name

Abu-Donia

MiddleName

M.

Affiliation

Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt

Email

donia_1000@yahoo.com

City

Zagazig

Orcid

-

First Name

Hany

Last Name

Atia

MiddleName

A.

Affiliation

Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt

Email

h_a_atia@hotmail.com

City

Zagazig

Orcid

-

Volume

2023

Article Issue

2

Related Issue

38868

Issue Date

2023-06-01

Receive Date

2022-05-23

Publish Date

2023-06-01

Page Start

172

Page End

179

Print ISSN

1110-1555

Link

https://bfszu.journals.ekb.eg/article_303147.html

Detail API

https://bfszu.journals.ekb.eg/service?article_code=303147

Order

17

Type

Original Article

Type Code

838

Publication Type

Journal

Publication Title

Bulletin of Faculty of Science, Zagazig University

Publication Link

https://bfszu.journals.ekb.eg/

MainTitle

Partial 2-Metric Spaces for Cyclic (ψ,φ,A,B)-Contractions in Fixed Point Theorems

Details

Type

Article

Created At

24 Dec 2024