Solving Integral Equations via Hybrid Interpolative ℛℐ-Type Contractions in 𝔟-Metric Spaces

Karapinar et al. established a more general class of contractions, namely, hybrid interpolative <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">R</mi></semantics>&l...

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Bibliographic Details
Main Authors: Ahmad Aloqaily, Dur-e-Shehwar Sagheer, Isma Urooj, Samina Batul, Nabil Mlaiki
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/2/465
Description
Summary:Karapinar et al. established a more general class of contractions, namely, hybrid interpolative <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">R</mi></semantics></math></inline-formula>iech <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">I</mi></semantics></math></inline-formula>strǎstescue-type contractions, and presented some results on the platform of metric spaces. This research uses the domain of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="fraktur">b</mi></semantics></math></inline-formula>-metric spaces to modify this class proficiently. Several interesting fixed-point results are presented by using this new class defined on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="fraktur">b</mi></semantics></math></inline-formula>-metric space, where the symmetric condition is preserved in this study. Examples are provided for the authentication of proved results. Eventually, an application is also provided in order to comprehend our extensive effort in a better way.
ISSN:2073-8994