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Research Article | Open Access

On generalized α- ψ-Geraghty contractive mappings with integral type and fixed point theorems in quasi-partial metric spaces

He Liu, Hongyan Guan( )
School of Mathematics and Systems Science, Shenyang Normal University, Shenyang 110034, China
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Abstract

In this paper, we mainly studied the existence and uniqueness of fixed points of α- ψ-Geraghty contractive mappings of integral type in quasi-partial metric spaces. We also gave examples to support our results.

Keywords

common fixed pointα-admissibilityquasi-partial metricgeneralized α-ψ-Geraghty contractive mapping
CLC number: 47H09, 47H10, 54H25

References

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AIMS Mathematics
Volume 10 Issue 7,
July 2025
Pages 16045-16067
DOI: 10.3934/math.2025719

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Liu H, Guan H. On generalized α- ψ-Geraghty contractive mappings with integral type and fixed point theorems in quasi-partial metric spaces. AIMS Mathematics, 2025, 10(7): 16045-16067. https://doi.org/10.3934/math.2025719

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Received: 02 April 2025
Revised: 22 June 2025
Accepted: 08 July 2025
Published: 15 July 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)