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

Author:

Asim Mohammad1ORCID,Imdad Mohammad2

Affiliation:

1. Department of Mathematics , Faculty of Science, SGT University , Gurugram (Haryana)- , India

2. Department of Mathematics , Aligarh Muslim University , Aligarh - , India

Abstract

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.

Publisher

Walter de Gruyter GmbH

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