Mathematics and Computational Sciences

Characterizations of Neutrosophic nano β-Continuous functions in Neutrosophic nano topological spaces

Document Type : Original Article

Authors

Panimayam Anbarasi Rodrigo
Johnson Charlet Jenisha

Department of Mathematics, St, Mary’s College(Autonomous), (Affliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli), Thoothukudi-628001, TamilNadu, India.

https://doi.org/10.30511/mcs.2025.2075275.1546
Abstract
This paper introduces neutrosophic nano β-continuous functions and explores their fundamental properties in neutrosophic nano topological spaces. The study establishes their role in extending continuity concepts for handling uncertainty and indeterminacy.

Keywords

Neutrosophic Nano &beta
-continuous mapping, Neutrosophic Nano &beta
-open, Neutrosophic continuous function,Nano continuous function,Neutrosophic Nano open sets,

Subjects

[1] Anbarasi Rodrigo, P. & Charlet Jenisha, J. Neutrosophic Nano β - Open Sets:Definitions and Chararcterizations in Neutrosophic Nano Topological Spaces, AIP Conference proceeding(communicated). 
[2] Dhavaseelan, R., & Jafari, S. (2019). Generalized neutrosophic closed sets, New Trends in Neutrosophic Theory and Applications, Vol. II,(2017), 261-273. R. Dhavaseelan and Md. Hanif PAGE, Neutrosophic Almost α-contracontinuous function, Neutrosophic Sets and Systems, 29, 71-77.
[3] Smarandache, F. (1999). A unifying field in Logics: Neutrosophic Logic. In Philosophy. American Research Press,1-141. 
[4] Thivagar, M. L., Jafari, S., Devi, V. S., & Antonysamy, V. (2018). A novel approach to nano topology via neutrosophic sets. Infinite Study. 
[5] Thivagar, M. L., & Richard, C. (2013). On nano forms of weakly open sets. International journal of mathematics and statistics invention, 1(1), 31-37.
Mathematics and Computational Sciences
Volume 7, Issue 1
Winter 2026
Pages 45-55

  • Receive Date 21 October 2025
  • Revise Date 22 November 2025
  • Accept Date 24 November 2025

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