On fixed point results in F-metric spaces with applications

Autor: Hanadi Zahed, Zhenhua Ma, Jamshaid Ahmad
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 7, Pp 16887-16905 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023863?viewType=HTML
Popis: The aim of this research article is to define locally rational contractions concerning control functions of one variable in the background of $ \mathcal{F} $-metric spaces and establish common fixed point results. We also introduce ($ \alpha ^{\ast } $-$ \psi) $-contractions and generalized ($ \alpha ^{\ast } $, $ \psi, \delta _{\mathcal{F}}) $-contractions in $ \mathcal{F} $-metric spaces and obtain fixed points of multifunctions. A non trivial example is also furnished to manifest the originality of the fundamental result. As application, we investigate the solution of nonlinear neutral differential equation.
Databáze: Directory of Open Access Journals