Solution and Stability of an $n$-Dimensional AQ-Functional Equation


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Authors

  • M. J. Rassias Department of Statistical Science,University College London, 1-19 Torrington Place, #140, London, UK
  • M. Arunkumar Department of Mathematics, Kalaignar Karunanidhi Government Arts College, Tiruvannamalai, TamilNadu, India
  • E. Sathya Department of Mathematics, Kalaignar Karunanidhi Government Arts College, Tiruvannamalai, TamilNadu, India

Keywords:

Additive functional equations, quadratic functional equation, mixed type functional equation, generalized Ulam - Hyers stability

Abstract

In this paper, the authors established the general solution and generalized Ulam - Hyers stability of an mixed type $n$ dimensional additive quadratic functional equation in Banach spaces using Hyers method. The stability results are proved in two ways by considering $n$ is an even and odd positive integer.

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Published

04-09-2024

How to Cite

M. J. Rassias, M. Arunkumar, & E. Sathya. (2024). Solution and Stability of an $n$-Dimensional AQ-Functional Equation. International Journal of Mathematics And Its Applications, 12(3), 1–16. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1482

Issue

Vol. 12 No. 3 (2024)

Section

Research Article

License

Copyright (c) 2024 International Journal of Mathematics And its Applications

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