Existence and uniqueness of best proximity point in non-Archimedean neutrosophic complete metric space

Authors

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

Abstract

 This paper presents the concept of best proximity points for non-self mappings within the framework
 of non-Archimedean neutrosophic complete metric spaces. It also introduces two classes of mappings, namely
 neutrosophic proximal contractions of the first kind and the second kind, and establishes theorems guaranteeing
 the existence and uniqueness of best proximity points for these contractions.

 

DOI: 10.5281/zenodo.16887817

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Published

2025-12-01

Issue

Vol. 91 (2025): 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

A. Sreelakshmi Unni, & V. Pragadeeswarar. (2025). Existence and uniqueness of best proximity point in non-Archimedean neutrosophic complete metric space. Neutrosophic Sets and Systems, 91, 793-811. https://fs.unm.edu/nss8/index.php/111/article/view/7043