Fixed Point and Best Proximity Point Results in PIV-S-Metric Spaces

This paper presents the concept of a partial idempotent valued S-metric space, abbreviated as PIV-S-metric space, as a generalization of both the PIV-metric space and S-metric space. The study utilizes this new framework to establish a fixed point theorem and a best proximity point theorem. Addition...

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Bibliographic Details
Published in:Annales Mathematicae Silesianae
Main Authors: Asim Mohammad, Imdad Mohammad
Format: Article
Language:English
Published: Sciendo 2024-06-01
Subjects:
fixed point
idempotent valued metric space
idempotent valued s-metric space
47h10
54h25
Online Access:https://doi.org/10.2478/amsil-2024-0014
Description
Summary:This paper presents the concept of a partial idempotent valued S-metric space, abbreviated as PIV-S-metric space, as a generalization of both the PIV-metric space and S-metric space. The study utilizes this new framework to establish a fixed point theorem and a best proximity point theorem. Additionally, the paper proves the existence and uniqueness of the best proximity point within this context. Several illustrative examples are provided to demonstrate the practical applications of the main findings.
ISSN:2391-4238

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