Common Fixed Point Results on b-Metric Spaces for Generalized Rational Type ϑ,ψ,φ-Weakly Contractive Mappings With Applications

This paper focuses on existence and uniqueness of common fixed points for a pair of self-mapping satisfying generalized rational type ϑ,ψ,φ-weak contractive condition in which one of the mapping is α-admissible with respect to the other and weakly compatible mappings in the framework of b-metric spa...

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Bibliographic Details
Published inAbstract and applied analysis Vol. 2025
Main Authors Albray Gebremariam Kalo, Kidane Koyas Tola, Haider Ebrahim Yesuf
Format Journal Article
LanguageEnglish
Published New York John Wiley & Sons, Inc 01.01.2025
Wiley
Subjects
Commuting
Differential equations
Integral equations
Mapping
Metric space
Ordinary differential equations
Partial differential equations
Theorems
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Summary:This paper focuses on existence and uniqueness of common fixed points for a pair of self-mapping satisfying generalized rational type ϑ,ψ,φ-weak contractive condition in which one of the mapping is α-admissible with respect to the other and weakly compatible mappings in the framework of b-metric spaces. The results presented herein generalize and improve some well-known results in the existing literature. Furthermore, we draw some corollaries from our results and provide an example for illustrating the validity of our findings. As an application of our result, we discuss the existence of a solution to a fractional order differential equation.
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ISSN:1085-3375
1687-0409
DOI:10.1155/aaa/4630792