Volume 27 , Issue 1 , PP: 206-219, 2026 | Cite this article as | XML | Html | PDF | Full Length Article
A. Sreelakshmi Unni 1 , V. Pragadeeswarar 2 * , Manuel De La Sen 3
Doi: https://doi.org/10.54216/IJNS.270119
In this work, we introduce the notion of best proximity point for a non-self map defined in a neutrosophic complete metric space. Moreover, we define the class of neutrosophic proximal contraction of first kind and second kind, and we prove theorems which ensures existence and uniqueness of best proximity point for such mappings in neutrosophic complete metric spaces. Additionally, a technique to identify an optimal approximation solution intended as a best proximity point is demonstrated.
Best proximity point , Neutrosophic complete metric space , Fixed point
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