On generalized $ \alpha $-$ \psi $-Geraghty contractive mappings with integral type and fixed point theorems in quasi-partial metric spaces

He Liu; Hongyan Guan; He Liu; Hongyan Guan

doi:10.3934/math.2025719

AIMS Mathematics

2025, Volume 10, Issue 7: 16045-16067. doi: 10.3934/math.2025719

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Research article

On generalized $ \alpha $-$ \psi $-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

Received: 02 April 2025 Revised: 22 June 2025 Accepted: 08 July 2025 Published: 16 July 2025
MSC : 47H09, 47H10, 54H25

In this paper, we mainly studied the existence and uniqueness of fixed points of $ \alpha $-$ \psi $-Geraghty contractive mappings of integral type in quasi-partial metric spaces. We also gave examples to support our results.
- common fixed point,
- $ \alpha $-admissibility,
- quasi-partial metric,
- generalized $ \alpha $-$ \psi $-Geraghty contractive mapping
Citation: He Liu, Hongyan Guan. On generalized $ \alpha $-$ \psi $-Geraghty contractive mappings with integral type and fixed point theorems in quasi-partial metric spaces[J]. AIMS Mathematics, 2025, 10(7): 16045-16067. doi: 10.3934/math.2025719

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Abstract

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

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