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International Journal of Neutrosophic Science
Volume 20 , Issue 4, PP: 46-57 , 2023 | Cite this article as | XML | Html |PDF

Title

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

  R. Muthuraj 1 * ,   K. Nachammal 2 ,   M. Jeyaraman 3

1  Department of Mathematics, H.H. The Rajah’s College, Pudukkottati, Affiliated to Bharathidasan University, Tiruchirappalli, Tamilnadu, India
    (rmr1973@yahoo.co.in)

2  Department of Mathematics, H.H. The Rajah’s College, Pudukkottati, Affiliated to Bharathidasan University, Tiruchirappalli, Tamilnadu, India
    (nachammal1976@gmail.com)

3  Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India
    (jeya.math@gmail.com)

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Doi   :   https://doi.org/10.54216/IJNS.200403

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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Cite this Article as :
Style #
MLA 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. 20, No. 4, 2023 ,PP. 46-57 (Doi   :  https://doi.org/10.54216/IJNS.200403)
APA R. Muthuraj, K. Nachammal, M. Jeyaraman. (2023). Hyers - Ulam - Rassias Stability of Various Functional Equations in Non-Archimedean Neutrosophic Normed Spaces. Journal of International Journal of Neutrosophic Science, 20 ( 4 ), 46-57 (Doi   :  https://doi.org/10.54216/IJNS.200403)
Chicago R. Muthuraj, K. Nachammal, M. Jeyaraman. "Hyers - Ulam - Rassias Stability of Various Functional Equations in Non-Archimedean Neutrosophic Normed Spaces." Journal of International Journal of Neutrosophic Science, 20 no. 4 (2023): 46-57 (Doi   :  https://doi.org/10.54216/IJNS.200403)
Harvard R. Muthuraj, K. Nachammal, M. Jeyaraman. (2023). Hyers - Ulam - Rassias Stability of Various Functional Equations in Non-Archimedean Neutrosophic Normed Spaces. Journal of International Journal of Neutrosophic Science, 20 ( 4 ), 46-57 (Doi   :  https://doi.org/10.54216/IJNS.200403)
Vancouver R. Muthuraj, K. Nachammal, M. Jeyaraman. Hyers - Ulam - Rassias Stability of Various Functional Equations in Non-Archimedean Neutrosophic Normed Spaces. Journal of International Journal of Neutrosophic Science, (2023); 20 ( 4 ): 46-57 (Doi   :  https://doi.org/10.54216/IJNS.200403)
IEEE R. Muthuraj, K. Nachammal, M. Jeyaraman, Hyers - Ulam - Rassias Stability of Various Functional Equations in Non-Archimedean Neutrosophic Normed Spaces, Journal of International Journal of Neutrosophic Science, Vol. 20 , No. 4 , (2023) : 46-57 (Doi   :  https://doi.org/10.54216/IJNS.200403)
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