Fixed point and best proximity point results in PIV-S-metric spaces
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 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.
Keywords
fixed point; idempotent valued metric space; idempotent valued S-metric space
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Department of Mathematics, Faculty of Science, SGT University India
https://orcid.org/0000-0002-2209-4488
Department of Mathematics, Aligarh Muslim University India
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