Some Novel Fixed-Point Results in Neutrosophic Soft Metric Space With Application in Decision-Making to Select the Optimal Adsorbent

Vishal Gupta, Nitika Garg and Rahul Shukla

Journal of Mathematics, 2025, vol. 2025, 1-29

Abstract: In this research paper, the concepts of compatible maps and maps of type α¯ and (β¯) within the framework of neutrosophic soft metric spaces (NSMS) are established. The interconnections between α¯- and (β¯)-type maps are also clarified. Additionally, the notions of R-weakly commuting and weakly commuting mappings in NSMS are introduced. A proof for the neutrosophic version of Pant’s theorem is provided, accompanied by an illustrative example to validate the results. To highlight the practical significance and applicability, the VIKOR method is utilized within a neutrosophic multicriteria decision-making (MCDM) framework for selecting the best adsorbent.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5343925

DOI: 10.1155/jom/5343925

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