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Common Best Proximity Points and Completeness of ℱ−Metric Spaces

Common Best Proximity Points and Completeness of ℱ−Metric Spaces

Authors :
Mi Zhou
Naeem Saleem
Basit Ali
Misha Mohsin
Antonio Francisco Roldán López de Hierro
Source :
Mathematics, Vol 11, Iss 2, p 281 (2023)
Publication Year :
2023
Publisher :
MDPI AG, 2023.

Abstract

In this paper, we introduce three classes of proximal contractions that are called the proximally λ−ψ−dominated contractions, generalized ηβγ−proximal contractions and Berinde-type weak proximal contractions, and obtain common best proximity points for these proximal contractions in the setting of F−metric spaces. Further, we obtain the best proximity point result for generalized α−φ−proximal contractions in F−metric spaces. As an application, fixed point and coincidence point results for these contractions are obtained. Some examples are provided to support the validity of our main results. Moreover, we obtain a completeness characterization of the F−metric spaces via best proximity points.

Details

Language :
English
ISSN :
22277390
Volume :
11
Issue :
2
Database :
Directory of Open Access Journals
Journal :
Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.8ef8f41a9d724b939fe8561a5afc28a5
Document Type :
article
Full Text :
https://doi.org/10.3390/math11020281