Application of fixed point result to solve integral equation in the setting of graphical Branciari $ {\aleph } $-metric spaces

Autor: Rajagopalan Ramaswamy, Gunaseelan Mani
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 11, Pp 32945-32961 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20241576?viewType=HTML
Popis: In this present paper, we introduce graphical Branciari $ \aleph $-metric space and prove the fixed point theorem for $ \varOmega $-$ \mathcal{Q} $-contraction on complete graphical Branciari $ \aleph $ -metric spaces. Our result has been supplemented with suitable, non trivial examples. We have applied the derived fixed point result to solve non-linear Fredholm integral equations and fractional differential equation.
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