In this paper, we combine the notions of multiplicative metric space [5] and cone rectangular metric space [6] to form multiplicative cone rectangular metric space. We prove a variant of the Banach contraction mapping theorem in this new space. Some corollaries are consequences of the main result, and some conjectures conclude the paper.

Banach contraction, multiplicative metric space, cone rectangular metric space.

Received: March 6, 2024; Accepted: April 26, 2024; Published: May 16, 2024

How to cite this article: Clement Boateng Ampadu, On a variant of the Banach contraction mapping theorem in multiplicative cone rectangular metric space, JP Journal of Fixed Point Theory and Applications 20 (2024), 25-34. https://doi.org/10.17654/0973422824002

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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