Volume 27 • Issue 1 • PP: 01-09 • 2026
Discovering Novel Types of Irresolute and Contra Mappings for m-Polar Neutrosophic Topological Spaces
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© 2026 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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The present work explores the features of new kinds of neutrosophic continuous mappings, including neutrosophic irresolute β^*−continuous mapping (NIβ^*CM) and neutrosophic continuous mappings, including neutrosophic contra β^*−continuous mapping (NCOβ^*CM) and investigates some properties related them. Moreover, we study the relationships between these two concepts with the concept of irresolute α^* and contra α^*−continuous mapping. Finally, we introduced m-polar neutrosophic irresolute β^*−continuous mapping (MPNIβ^*CM) and neutrosophic continuous mappings, including m-polar neutrosophic contra β^*−continuous mapping (MPNCOβ^*CM) with investigates some properties related them.
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References
[1] L. A. Zadeh, "Fuzzy Sets," Inform. Control, vol. 8, pp. 338-353, 1965.
[2] C. L. Chang, "Fuzzy topological spaces," J. Math. Anal. Appl., vol. 24, no. 1, pp. 182-190, 1968.
[3] J. Dontchev, "Survey on preopen sets," Proc. Yatsushiro Topological Conference, pp. 1-8, 1998.
[4] F. Smarandache, "Neutrosophic logic: A new approach to uncertainty," Journal of Uncertainty Analysis and Applications, vol. 8, no. 1, pp. 1-12, 2020.
[5] A. A. Salama, F. Smarandache, and V. Kromov, "Neutrosophic closed set and neutrosophic continuous functions," Infinite Study, 2014.
[6] J. Al-Mufarrij and S. Saleh, "New results on soft generalized topological spaces," J. Math. Comput. Sci., vol. 32, no. 1, pp. 43-53, 2023.
[7] A. Bataihah and A. Hazaymeh, "Quasi Contractions and Fixed Point Theorems in the Context of Neutrosophic Fuzzy Metric Spaces," European Journal of Pure and Applied Mathematics, vol. 18, no. 1, pp. 5785-5785, 2025.
[8] R. A. Isewid, N. I. Aziz, S. R. Yaseen, and M. R. Qasem, "Some properties of regular and normal space on topological graph space," Journal of Physics: Conference Series, vol. 1879, no. 022106, 2021.
[9] N. M. Ali Abbas, S. Alsalem, and E. Suleiman, "On Associative Permutation BM-Algebras," IEEE Xplore, 2022, pp. 1-5. doi: 10.1109/MACS56771.2022.10022691.
[10] S. Al Salem, A. Al Musawi, and E. Suleiman, "On permutation G-part in permutation Q-algebras," The International Society for Optical Engineering, vol. 1261604, 2023. doi: 10.1117/12.2674993.
[11] M. A. Hasan Hasab, S. Mahmood, and A. Firas, "An Induced Neutrosophic Using Soft Set (J,L) Over M with Parameter H," Results in Nonlinear Analysis, vol. 7, no. 4, pp. 104–114, 2024. https://nonlinear-analysis.com/index.php/pub/article/view/483
[12] M. Al-Labadi, S. Mahmood, "Neutrosophic soft sets and their applications in decision-making," Journal of Applied Mathematics and Computation, vol. 410, pp. 1-15, 2023.
[13] Q. H. Imran, F. Smarandache, R. K. Al-Hamido, and R. Dhavaseelan, "On neutrosophic semi alpha open sets," Neutrosophic Sets Syst., vol. 18, pp. 37-42, 2017.
[14] M. Riaz and M. R. Hashmi, "m-polar Neutrosophic Topology and its Application to Medical Diagnosis," Infinite Study.
[15] A. A. Salama, S. A. Alblowi, "Neutrosophic Set and Neutrosophic Topological Spaces," IOSR Journal of Mathematics, 2012, pp. 31-35.
[16] A. A. Auad and A. H. Klaeif, "Best co-proximal and Co-chebyshev of unbounded functions," Journal of Physics: Conference Series, vol. 2322, no. 1, 2022, Art. no. 012033.
[17] Y. Al-Qudah, A. Jaradat, S. K. Sharma, and V. K. Bhat, "Mathematical analysis of the structure of one-heptagonal carbon nanocone in terms of its basis and dimension," Physica Scripta, vol. 99, no. 5, 055252, 2024.
[18] A. Al-Quran, F. Al-Sharqi, and A. M. Djaouti, "q-Rung simplified neutrosophic set: A generalization of intuitionistic, Pythagorean and Fermatean neutrosophic sets," AIMS Mathematics, vol. 10, no. 4, pp. 8615-8646, 2025.
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