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Galoitica: Journal of Mathematical Structures and Applications
Volume 7 , Issue 1, PP: 36-42 , 2023 | Cite this article as | XML | Html |PDF

Title

On Neutrosophic Metric Spaces Generated By Classical Metrics

  Khadija Ben Othman 1 * ,   Oliver Von Shtawzen 2 ,   Ahmad Khaldi 3 ,   Rozina Ali 4

1  Umm Al-Qura Univerity, Mekka, Saudi Arabia
    (khagijabenothman33@gmail.com)

2  University Of Nizwa, Sultanate Of Oman
    (Vonshtawzen1970abc@gmail.com)

3  Mutah University, Faculty of Science, Jordan
    (khaldiahmad1221@gmail.com)

4  Cairo University, Department Of Mathematics, Egypt
    (rozyyy123n@gmail.com)

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Doi   :   https://doi.org/10.54216/GJMSA.070104

Received: February 18, 2022 Revised: June 14, 2023 Accepted: August 13, 2023

Abstract :

This paper is dedicated to study the concept of symbolic neutrosophic metric spaces and refined neutrosophic metric spaces (X(I),d) which are generated by classical metrics, where many elementary properties will be discussed in terms of theorems and examples. Also, we study the topological properties of neutrosophic open balls, closed balls, and their topological metric complements, with many related examples that clarify the validity of our work.

Keywords :

neutrosophic metric space; refined neutrosophic metric space; open ball; closed ball.

References :

[1] Abobala, M., "AH-Subspaces in Neutrosophic Vector Spaces", International Journal of Neutrosophic Science, Vol. 6 , pp. 80-86. 2020.

[2] Abobala, M.,. "A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces", International Journal of Neutrosophic Science", Vol. 9, pp.74-85. 2020.

[3] Abobala, M., Hatip, A., Bal,M.," A Study Of Some Neutrosophic Clean Rings", International journal of neutrosophic science, 2022.

[4] Abobala, M., Bal, M., Aswad, M., "A Short Note On Some Novel Applications of Semi Module Homomorphisms", International journal of neutrosophic science, 2022.

[5] Celik, M., and Hatip, A., " On The Refined AH-Isometry And Its Applications In Refined Neutrosophic Surfaces", Galoitica Journal Of Mathematical Structures And Applications, 2022.

[6] Adeleke, E.O., Agboola, A.A.A.,and Smarandache, F., "Refined Neutrosophic Rings I", International Journal of Neutrosophic Science, Vol. 2(2), pp. 77-81. 2020.

[7] M. Ibrahim. A. Agboola, B.Badmus and S. Akinleye. On refined Neutrosophic Vector Spaces . International Journal of Neutrosophic Science, Vol. 7, 2020, pp. 97-109.

[8].Abobala, M., "On Some Special Substructures of Neutrosophic Rings and Their Properties", International Journal of Neutrosophic Science", Vol 4 , pp72-81, 2020.

[9] Celik, M., and Olgun, N., " An Introduction To Neutrosophic Real Banach And Hillbert Spaces", Galoitica Journal Of Mathematical Structures And Applications, 2022.

[10] Celik, M., and Olgun, N., " On The Classification Of Neutrosophic Complex Inner Product Spaces", Galoitica Journal Of Mathematical Structures And Applications, 2022.

[11] Abobala, M., and Hatip, A., "An Algebraic Approach To Neutrosophic Euclidean Geometry", Neutrosophic Sets and Systems, Vol. 43, 2021.

[12] Abobala, M., "On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations", Mathematical Problems in Engineering, Hindawi, 2021

[13] Agboola, A.A.A., Akinola, A.D., and Oyebola, O.Y., " Neutrosophic Rings I" , International J.Mathcombin, Vol 4,pp 1-14. 2011.

[14] Abobala, M., "Neutrosophic Real Inner Product Spaces", Neutrosophic Sets and Systems, Vol. 43, 2021.

Cite this Article as :
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MLA Khadija Ben Othman, Oliver Von Shtawzen, Ahmad Khaldi, Rozina Ali. "On Neutrosophic Metric Spaces Generated By Classical Metrics." Galoitica: Journal of Mathematical Structures and Applications, Vol. 7, No. 1, 2023 ,PP. 36-42 (Doi   :  https://doi.org/10.54216/GJMSA.070104)
APA Khadija Ben Othman, Oliver Von Shtawzen, Ahmad Khaldi, Rozina Ali. (2023). On Neutrosophic Metric Spaces Generated By Classical Metrics. Journal of Galoitica: Journal of Mathematical Structures and Applications, 7 ( 1 ), 36-42 (Doi   :  https://doi.org/10.54216/GJMSA.070104)
Chicago Khadija Ben Othman, Oliver Von Shtawzen, Ahmad Khaldi, Rozina Ali. "On Neutrosophic Metric Spaces Generated By Classical Metrics." Journal of Galoitica: Journal of Mathematical Structures and Applications, 7 no. 1 (2023): 36-42 (Doi   :  https://doi.org/10.54216/GJMSA.070104)
Harvard Khadija Ben Othman, Oliver Von Shtawzen, Ahmad Khaldi, Rozina Ali. (2023). On Neutrosophic Metric Spaces Generated By Classical Metrics. Journal of Galoitica: Journal of Mathematical Structures and Applications, 7 ( 1 ), 36-42 (Doi   :  https://doi.org/10.54216/GJMSA.070104)
Vancouver Khadija Ben Othman, Oliver Von Shtawzen, Ahmad Khaldi, Rozina Ali. On Neutrosophic Metric Spaces Generated By Classical Metrics. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 7 ( 1 ): 36-42 (Doi   :  https://doi.org/10.54216/GJMSA.070104)
IEEE Khadija Ben Othman, Oliver Von Shtawzen, Ahmad Khaldi, Rozina Ali, On Neutrosophic Metric Spaces Generated By Classical Metrics, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 7 , No. 1 , (2023) : 36-42 (Doi   :  https://doi.org/10.54216/GJMSA.070104)
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