Fixed Point Results for Generalized α,ψ-Contraction Mapping in Rectangular b-Metric Spaces

In this paper, we introduce generalized α,ψ-contraction mappings in the setting of rectangular b-metric spaces and established existence and uniqueness of fixed points for the mappings introduced. Our results extend and generalize related fixed point results in the existing literature. We derive som...

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Bibliographic Details
Main Authors: Mustefa Abduletif Mamud, Kidane Koyas Tola
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2022/9370083
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Summary:In this paper, we introduce generalized α,ψ-contraction mappings in the setting of rectangular b-metric spaces and established existence and uniqueness of fixed points for the mappings introduced. Our results extend and generalize related fixed point results in the existing literature. We derive some consequences and corollaries from our obtained results. Also, we provide examples in support of our main findings. Furthermore, we determined a solution to an integral equation by applying our obtained results.
ISSN:1687-0409