Some fixed point results in metric spaces equipped with a graph and their applications

Ekta Tamrakar; Saud Alhaqbani; Ajay Kumar; Reny George; Hemant Kumar Pathak

doi:10.31838/rna/2024.07.01.009

Some fixed point results in metric spaces equipped with a graph and their applications

Ekta Tamrakar
, Saud Alhaqbani
, Ajay Kumar
, Reny George
, Hemant Kumar Pathak

Mathematics

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

Abstract

In this paper, we define the notion of (F – H)_G-contraction and utilize the same to obtain fixed point results in the setting of metric spaces equipped with a graph. Our contraction generalizes many known contractions in literature. As an application, we have proved the existence and uniqueness of solution of Volterra type integral equation. Finally, some suitable examples are given to validate our claim.

Original language	English
Pages (from-to)	122-141
Number of pages	20
Journal	Results in Nonlinear Analysis
Volume	7
Issue number	1
DOIs	https://doi.org/10.31838/rna/2024.07.01.009
State	Published - 2 Dec 2023

Keywords

(F – H) contraction
(F – H)-contraction
Connected graph
F-contraction
G-contraction

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10.31838/rna/2024.07.01.009

Cite this

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Some fixed point results in metric spaces equipped with a graph and their applications

Abstract

Keywords

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