Common fixed-point for a pair of Hardy-Rogers F-contractions in quasi partial b-metric space

This paper aims to prove common fixed point theorems for a pair of Hardy-Rogers F-contractions in the setting of quasi-partial b- metric space. The main theorem generalizes the results due to Wardowski and many others in the literature. We also provide an illustrative example and an application to boundary value problem to validate the results.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-05-29
DOI
https://doi.org/10.5269/bspm.64812
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
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article

Common fixed-point for a pair of Hardy-Rogers F-contractions in quasi partial b-metric space

Jonasi Chilongola, Santosh Kumar
Boletim da Sociedade Paranaense de Matemática
Fixed Point Theorems Analysis
article

Common fixed-point for a pair of Hardy-Rogers F-contractions in quasi partial b-metric space

Jonasi Chilongola, Santosh Kumar
article en

Abstract

This paper aims to prove common fixed point theorems for a pair of Hardy-Rogers F-contractions in the setting of quasi-partial b- metric space. The main theorem generalizes the results due to Wardowski and many others in the literature. We also provide an illustrative example and an application to boundary value problem to validate the results.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
University of Dar es Salaam (TZ), North Eastern Hill University (IN)
Openalex Percentile: Top 72%
Fixed Point Theorems Analysis
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