Rational interpolative contractions with applications in extended b-metric spaces

In this manuscript, utilizing interpolative contractions with fractional forms, some unique fixed-point results were studied in the context of extended $ b $-metric spaces. For the validity of the presented results some examples are given. In the last section an existence theorem is provided to stud...

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Bibliographic Details
Published in:AIMS Mathematics
Main Authors: Muhammad Sarwar, Muhammad Fawad, Muhammad Rashid, Zoran D. Mitrović, Qian-Qian Zhang, Nabil Mlaiki
Format: Article
Language:English
Published: AIMS Press 2024-04-01
Subjects:
fixed point
metric space
interpolative contractions
extended $ b $-metric space
integral equation
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024683?viewType=HTML
Description
Summary:In this manuscript, utilizing interpolative contractions with fractional forms, some unique fixed-point results were studied in the context of extended $ b $-metric spaces. For the validity of the presented results some examples are given. In the last section an existence theorem is provided to study the existence of a solution for the Fredholm integral equation.
ISSN:2473-6988

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