Application of fixed point result to solve integral equation in the setting of graphical Branciari ℵ-metric spaces

Rajagopalan Ramaswamy; Gunaseelan Mani

doi:10.3934/math.20241576

Application of fixed point result to solve integral equation in the setting of graphical Branciari ℵ-metric spaces

Rajagopalan Ramaswamy, Gunaseelan Mani

Mathematics

Saveetha Institute of Medical and Technical Sciences (Deemed to be University)

Research output: Contribution to journal › Article › peer-review

Abstract

In this present paper, we introduce graphical Branciari ℵ-metric space and prove the fixed point theorem for Ω-Q-contraction on complete graphical Branciari ℵ-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.

Original language	English
Pages (from-to)	32945-32961
Number of pages	17
Journal	AIMS Mathematics
Volume	9
Issue number	11
DOIs	https://doi.org/10.3934/math.20241576
State	Published - 2024

Keywords

Branciari ℵ-metric space
graphical Branciari ℵ-metric space
Ω-Q-contraction

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10.3934/math.20241576

Cite this

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KW - Ω-Q-contraction

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Application of fixed point result to solve integral equation in the setting of graphical Branciari ℵ-metric spaces

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Keywords

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