A Study of Coupled Fixed Point in Multiplicative \(S\)-Metric Space

Manjusha P. Gandhi; Anushree A. Aserkar; Shiney Chib

doi:10.26713/cma.v15i3.2779

Authors

Manjusha P. Gandhi Department of Applied Mathematics and Humanities, Yeshwantrao Chavan College of Engineering, Nagpur 441110, Maharashtra, India https://orcid.org/0000-0003-1424-7701 (unauthenticated)
Anushree A. Aserkar Department of Applied Mathematics and Humanities, Yeshwantrao Chavan College of Engineering, Nagpur 441110, Maharashtra, India https://orcid.org/0000-0003-3830-2875 (unauthenticated)
Shiney Chib Datta Meghe Institute of Management Studies, Nagpur, Maharashtra, India https://orcid.org/0000-0001-7648-9963 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v15i3.2779

Keywords:

Coupled fixed point, Compatible mappings, Multiplicative S-metric space

Abstract

This study presents a novel common coupled fixed point result for two mappings in multiplicative \(S\)-metric space. Uniqueness of this point is proven through the utilization of a compatibility condition, validated through a provided example. Additionally, an application to integral equations is discussed within this article.

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