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

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  • Vishal Gupta
  • Nitika Garg
  • Rahul Shukla

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.

Suggested Citation

  • Vishal Gupta & Nitika Garg & Rahul Shukla, 2025. "Some Novel Fixed‐Point Results in Neutrosophic Soft Metric Space With Application in Decision‐Making to Select the Optimal Adsorbent," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:5343925
    DOI: 10.1155/jom/5343925
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    References listed on IDEAS

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    1. Vishal Gupta & Aanchal Gondhi, 2022. "Fixed points of weakly compatible maps on modified intuitionistic fuzzy soft metric spaces," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(3), pages 1232-1238, June.
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    4. S. N. Mishra & Nilima Sharma & S. L. Singh, 1994. "Common fixed points of maps on fuzzy metric spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 17, pages 1-6, January.
    5. Gerald Jungck, 1986. "Compatible mappings and common fixed points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-9, January.
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