Fixed Point Theory in External Parametric Sb-Metric Spaces and Its Applications

Title: Fixed Point Theory in External Parametric Sb-Metric Spaces and Its Applications
Creator: Mani, Naveen
Creator: Beniwal, Sunil
Creator: Shukla, Rahul
Creator: Megha, Pingale
Subject: Metric space
Subject: Fixed point
Subject: Parametic
Subject: Linear
Subject: Contraction
Date Issued: 2023
Date: 2023
Type: Article
Identifier: http://hdl.handle.net/11260/14265
Identifier: vital:79171
Identifier: DOI: https://doi.org/10.3390/sym15122136
Description: This article introduces the novel concept of an extended parametric Sb-metric space, which is a generalization of both Sb-metric spaces and parametric Sb-metric spaces. Within this extended framework, we first establish an analog version of the Banach fixed-point theorem for self-maps.We then prove an improved version of the Banach contraction principle for symmetric extended parametric Sb-metric spaces, using an auxiliary function to establish the desired result. Finally, we provide illustrative examples and an application for determining solutions to Fredholm integralequations, demonstrating the practical implications of our work.
Language: English
Relation: Symmetry
Relation: Symmetry 15 vol 12 1 13 2023 https://doi.org/10.3390/sym15122136

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