Common Best Proximity Point Theorems in Neutrosophic Complete Metric Spaces

Authors

  • V. Pragadeeswarar Department of Mathematics, Amrita School of Physical Sciences, Coimbatore, Amrita Vishwa Vidyapeetham, India;
  • A. Sreelakshmi Unni Department of Mathematics, Amrita School of Physical Sciences, Coimbatore, Amrita Vishwa Vidyapeetham, India;

Keywords:

Best proximity point; Neutrosophic metric; Common best proximity point; Fixed point.

Abstract

 In this work, we provide the existence of common best proximity point for a given pair of non-self
 mappings in non-Archimedean neutrosophic complete metric spaces. Additionally, we prove a corresponding
 result for non-self mappings in Archimedean neutrosophic complete metric spaces. Our results extend some
 relevant results of Sasiq Basha [22–24]. Furthermore, we have included examples to support and validate our
 findings.

 

DOI: 10.5281/zenodo.17074234

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Published

2026-01-25

Issue

Vol. 95 (2026): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2025 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

V. Pragadeeswarar, & A. Sreelakshmi Unni. (2026). Common Best Proximity Point Theorems in Neutrosophic Complete Metric Spaces. Neutrosophic Sets and Systems, 95, 26-45. https://fs.unm.edu/nss8/index.php/111/article/view/7224