Fixed point theorems for generalized contractions in $ \mathfrak{F} $-bipolar metric spaces with applications

Autor: Amer Hassan Albargi
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 12, Pp 29681-29700 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20231519?viewType=HTML
Popis: The major objectives of this research article are to introduce the notion of ($ \alpha, \psi $)-contraction in the context of $ \mathfrak{F} $-bipolar metric space and establish fixed point theorems. In this way, coupled fixed point results are obtained by applying the leading theorems. Some non-trivial examples are also furnished to show the validity of established results. As applications of the main result, we investigate the solution of an integral equation and a homotopy problem.
Databáze: Directory of Open Access Journals