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Neutrosophic Weakly Regular Semi Continuous Functions

Department of Mathematics, Ponmana Semmal Puratchi Thalaivar M. G. R Government Arts and Science College, Sirkazhi, Tamil Nadu-609 108, India.

Department of Mathematics, Arignar Anna Government Arts College, Nammakkal, Tamil Nadu-637 002, India

Research Scholar, Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608 002, India.

* Corresponding Author

Annals of Communications in Mathematics 2024

, 7 (4),

439-450.

https://doi.org/10.62072/acm.2024.070410

Received: 29 Oct 2024 |

Accepted: 19 Dec 2024 |

Published: 31 Dec 2024

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Abstract

In this paper, we introduce the concept of neutrosophic weakly regular semi continuous, neutrosophic regular semi q-neighbourhood in neutrosophic topological spaces. Also, we investigate the relationship among neutrosophic weakly regular semi continuous and other existing continuous functions. Moreover, some counter examples to show that these types of mappings are not equivalent. Finally, Neutrosophic retracts, neutrosophic regular semi retracts, neutrosophic regular semi quasi Urysohn space and neutrosophic regular semi Hausdorff spaces are introduced and studied.

Keywords

N -retracts; N RS-Hausdorff space; N RS-q-nbd; N RS-quasi Urysohn space; N RS-retracts; N W RSC

Cite This Article

Neutrosophic Weakly Regular Semi Continuous Functions.

Annals of Communications in Mathematics,

2024,

7 (4):

439-450.

https://doi.org/10.62072/acm.2024.070410

Copyright (c) 2024 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).