<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This paper presents the concept of a partial idempotent valued <italic>S</italic>-metric space, abbreviated as PIV-<italic>S</italic>-metric space, as a generalization of both the PIV-metric space and <italic>S</italic>-metric space. The study utilizes this new frame-work 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.</p>
</abstract>

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 frame-work 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.

Fixed Point and Best Proximity Point Results in PIV-<italic>S</italic>-Metric Spaces

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fixed Point and Best Proximity Point Results in PIV--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...

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

Publié en ligne: 07 juin 2024

Pages: -

Reçu: 23 août 2023

Accepté: 10 mai 2024

DOI: https://doi.org/10.2478/amsil-2024-0014

Mots clés
fixed point, idempotent valued metric space, idempotent valued -metric space

© 2024 Mohammad Asim et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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

Publié en ligne: 07 juin 2024

Pages: -

Reçu: 23 août 2023

Accepté: 10 mai 2024

DOI: https://doi.org/10.2478/amsil-2024-0014

Mots clésfixed point, idempotent valued metric space, idempotent valued -metric space

© 2024 Mohammad Asim et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Mots clés
fixed point, idempotent valued metric space, idempotent valued -metric space