Edelstein Fixed Point Theorem in Neutrosophic Metric Spaces With an Application to an SIR-Type Epidemic Model

Vishal Gupta, Nitika Garg and Rahul Shukla

International Journal of Differential Equations, 2026, vol. 2026, 1-9

Abstract: In this paper, utilizing the concept of neutrosophic metric spaces proposed by Kirisci and Simsek, we establish a fixed point theorem of Edelstein type within this framework. A numerical example is provided to illustrate the validity of the main result. Furthermore, we present an application to a general SIR-type epidemic model. By employing the proposed fixed point theorem, we investigate the existence of solutions for this model, demonstrating the theorem’s utility in the mathematical analysis of dynamical systems.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:1961964

DOI: 10.1155/ijde/1961964

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