A note on common fixed point theorems in a bounded metric space
- Authors: Touail Y.1, Jaid A.1, El Moutawakil D.1
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Affiliations:
- Université Sultan Moulay Slimane
- Issue: Vol 27, No 2 (2023)
- Pages: 241-249
- Section: Differential Equations and Mathematical Physics
- URL: https://journals.rcsi.science/1991-8615/article/view/145900
- DOI: https://doi.org/10.14498/vsgtu1940
- ID: 145900
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Abstract
In this paper, we introduce the concept of Tβ-contraction for a pair of commuting self-mappings and prove a common fixed point theorem for this type. Our results improve and extend many existing results in the literature. The paper also contains an application for non-linear integral equations.
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About the authors
Youssef Touail
Université Sultan Moulay Slimane
Author for correspondence.
Email: youssef9touail@gmail.com
ORCID iD: 0000-0003-3593-8253
MATIC, Faculte Polydisciplinaire de Khouribga
Morocco, 23000, Beni-MellalAmine Jaid
Université Sultan Moulay Slimane
Email: aminejaid1990@gmail.com
ORCID iD: 0000-0001-7322-2008
MATIC, Faculte Polydisciplinaire de Khouribga
Morocco, 23000, Beni-MellalDriss El Moutawakil
Université Sultan Moulay Slimane
Email: d.elmotawakil@gmail.com
ORCID iD: 0000-0003-3082-0125
MATIC, Faculte Polydisciplinaire de Khouribga
Morocco, 23000, Beni-MellalReferences
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