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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 20Issue 4PP: 46-57 • 2023

Hyers - Ulam - Rassias Stability of Various Functional Equations in Non-Archimedean Neutrosophic Normed Spaces

R. Muthuraj 1* ,
K. Nachammal 1 ,
M. Jeyaraman 2
1Department of Mathematics, H.H. The Rajah’s College, Pudukkottati, Affiliated to Bharathidasan University, Tiruchirappalli, Tamilnadu, India
2Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India
* Corresponding Author.
Received: December 25, 2022 Accepted: March 23, 2023

Abstract

In this paper, we introduce the notion of non- Archimedean neutrosophic normed space and also establish Hyers-Ulam-Rassias-type stability results concerning the Cauchy, Pexiderized  Cauchy. We determine some stability results concerning the Cauchy, Jensen and its Pexiderized functional equations in the framework of non-Archimedean Neutrosophic Normed Space. This work indeed presents a relationship between four various disciplines, the theory of neutrosophic normed space, non – Archimedean, Hyers-Ulam-Rassias stability and functional equation.

Keywords

Non-Archimedean Pexiderized Cauchy Functional Equation Pexiderized Jensen Functional Equation Neutrosophic Normed Space.

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Muthuraj, R., Nachammal, K., Jeyaraman, M.. "Hyers - Ulam - Rassias Stability of Various Functional Equations in Non-Archimedean Neutrosophic Normed Spaces." International Journal of Neutrosophic Science, vol. Volume 20, no. Issue 4, 2023, pp. 46-57. DOI: https://doi.org/10.54216/IJNS.200403
Muthuraj, R., Nachammal, K., Jeyaraman, M. (2023). Hyers - Ulam - Rassias Stability of Various Functional Equations in Non-Archimedean Neutrosophic Normed Spaces. International Journal of Neutrosophic Science, Volume 20(Issue 4), 46-57. DOI: https://doi.org/10.54216/IJNS.200403
Muthuraj, R., Nachammal, K., Jeyaraman, M.. "Hyers - Ulam - Rassias Stability of Various Functional Equations in Non-Archimedean Neutrosophic Normed Spaces." International Journal of Neutrosophic Science Volume 20, no. Issue 4 (2023): 46-57. DOI: https://doi.org/10.54216/IJNS.200403
Muthuraj, R., Nachammal, K., Jeyaraman, M. (2023) 'Hyers - Ulam - Rassias Stability of Various Functional Equations in Non-Archimedean Neutrosophic Normed Spaces', International Journal of Neutrosophic Science, Volume 20(Issue 4), pp. 46-57. DOI: https://doi.org/10.54216/IJNS.200403
Muthuraj R, Nachammal K, Jeyaraman M. Hyers - Ulam - Rassias Stability of Various Functional Equations in Non-Archimedean Neutrosophic Normed Spaces. International Journal of Neutrosophic Science. 2023;Volume 20(Issue 4):46-57. DOI: https://doi.org/10.54216/IJNS.200403
R. Muthuraj, K. Nachammal, M. Jeyaraman, "Hyers - Ulam - Rassias Stability of Various Functional Equations in Non-Archimedean Neutrosophic Normed Spaces," International Journal of Neutrosophic Science, vol. Volume 20, no. Issue 4, pp. 46-57, 2023. DOI: https://doi.org/10.54216/IJNS.200403
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