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Article

The Existence of Fixed Points for Generalized ωbφ-Contractions and Applications

by
Ahad Hamoud Alotaibi
1,* and
Maha Noorwali
2
1
Department of Mathematics, Faculty of Science and Arts, King Abdulaziz University, Rabigh 21911, Saudi Arabia
2
Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
*
Author to whom correspondence should be addressed.
Axioms 2025, 14(10), 748; https://doi.org/10.3390/axioms14100748
Submission received: 8 September 2025 / Revised: 26 September 2025 / Accepted: 28 September 2025 / Published: 1 October 2025
(This article belongs to the Special Issue Advances in Fixed Point Theory with Applications)

Abstract

This article introduces a new type of contractions via φ-admissibility and ωb-distance called generalized ωbφ-contractions. We prove the existence of fixed points for this type of contractions under some conditions. Moreover, we give an example to demonstrate the applications of our results.
Keywords: ωb-distance; α-admissible; φ-admissible; fixed point; generalized ωbφ-contractions; metric type space ωb-distance; α-admissible; φ-admissible; fixed point; generalized ωbφ-contractions; metric type space

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MDPI and ACS Style

Alotaibi, A.H.; Noorwali, M. The Existence of Fixed Points for Generalized ωbφ-Contractions and Applications. Axioms 2025, 14, 748. https://doi.org/10.3390/axioms14100748

AMA Style

Alotaibi AH, Noorwali M. The Existence of Fixed Points for Generalized ωbφ-Contractions and Applications. Axioms. 2025; 14(10):748. https://doi.org/10.3390/axioms14100748

Chicago/Turabian Style

Alotaibi, Ahad Hamoud, and Maha Noorwali. 2025. "The Existence of Fixed Points for Generalized ωbφ-Contractions and Applications" Axioms 14, no. 10: 748. https://doi.org/10.3390/axioms14100748

APA Style

Alotaibi, A. H., & Noorwali, M. (2025). The Existence of Fixed Points for Generalized ωbφ-Contractions and Applications. Axioms, 14(10), 748. https://doi.org/10.3390/axioms14100748

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