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Best Proximity Point Results for Fuzzy Proximal Quasi Contractions with Applications.

Best Proximity Point Results for Fuzzy Proximal Quasi Contractions with Applications.

Authors :
Ali, Muzammil
Ali, Basit
Source :
Mathematics (2227-7390). Jul2024, Vol. 12 Issue 14, p2295. 19p.
Publication Year :
2024

Abstract

In this work, we introduce a new type of multivalued fuzzy proximal quasi-contraction. These are generalized contractions which are a hybrid of H -contractive mappings and quasi-contractions. Furthermore, we establish the best proximity point results for newly introduced fuzzy contractions in the context of fuzzy b-metric spaces. Fuzzy b-metric spaces are more general than fuzzy metric spaces and are linked with the cosine distance, which is used in various contexts of artificial intelligence to measure the similarity between elements of a vector space. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
22277390
Volume :
12
Issue :
14
Database :
Academic Search Index
Journal :
Mathematics (2227-7390)
Publication Type :
Academic Journal
Accession number :
178699931
Full Text :
https://doi.org/10.3390/math12142295