Fixed-Point Theorems in Sequential G-Metric Spaces and Their Application to the Solvability of a System of Integral Equations

The goal of this work is to demonstrate some fixed-point theorems for JS-contractions over sequential G-metric spaces that are not necessarily continuous in any variable and do not enjoy the triangle inequality. This new space is a generalization of standard G-metric spaces and Gb-metric spaces. Additionally, a related application and an illustrated example are included to verify the accuracy of the findings.

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Publication Details

Journal
Axioms
Published
2025-09-08
DOI
https://doi.org/10.3390/axioms14090687
Citations
1
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
4.09
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article

Fixed-Point Theorems in Sequential G-Metric Spaces and Their Application to the Solvability of a System of Integral Equations

Monica-Felicia Bota, Hasan Hosseinzadeh, R. El Abdi, Jamal Rezaei Roshan et al.
1 citations
Axioms
Fixed Point Theorems Analysis
4.09
article

Fixed-Point Theorems in Sequential G-Metric Spaces and Their Application to the Solvability of a System of Integral Equations

Monica-Felicia Bota, Hasan Hosseinzadeh, R. El Abdi, Jamal Rezaei Roshan, Vahid Parvaneh
article en
1 citations

Abstract

The goal of this work is to demonstrate some fixed-point theorems for JS-contractions over sequential G-metric spaces that are not necessarily continuous in any variable and do not enjoy the triangle inequality. This new space is a generalization of standard G-metric spaces and Gb-metric spaces. Additionally, a related application and an illustrated example are included to verify the accuracy of the findings.

AxiomsVol. 14(9)
Islamic Azad University of Kermanshah (IR), Babeș-Bolyai University (RO), Qaemshahr Islamic Azad University (IR), Islamic Azad University Kerman (IR), Islamic Azad University Ardabil (IR)
Openalex Percentile: Top 7%
Fixed Point Theorems Analysis
4.09
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