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20261008151323
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American Scientific Publishing Group
International Journal of Neutrosophic Science
IJNS
2692-6148
2690-6805
2026
27
1
Best Proximity Point Theorems in Neutrosophic Complete Metric Spaces
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
Manuel De La
Sen
Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, 48940 Leioa, Bizkaia, Spain
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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.
2026
206
219
4107
https://creativecommons.org/licenses/by/4.0/
10.54216/IJNS.270119
https://www.americaspg.com/journal/21/article/4107
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https://www.americaspg.com/storage/21758209396.pdf