Stability of a System of Euler-Lagrange Type Cubic Functional Equations in non-Archimedean 2-Normed Spaces

Document Type : Original Paper


Department of mathematics, Shahid Chamran university of Ahvaz, Ahvaz, Iran.


Freese and Cho have introduced the non-Archimedean 2-normed spaces and Eshaghi, et al. have introduced the Menger probabilistic non-Archimedean 2-normed spaces. In this paper, we prove the generalized Hyers-Ulam-Rassias stability for a system of Euler-Lagrange type cubic functional equations in the non-Archimedean 2-normed spaces. Also, we prove the generalized Hyers-Ulam-Rassias stability for this system in the Menger probabilistic non–Archimedean 2–normed spaces.


Main Subjects

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Volume 11, Issue 1
April 2021
Pages 11-24
  • Receive Date: 06 February 2019
  • Revise Date: 24 July 2020
  • Accept Date: 11 September 2020
  • First Publish Date: 19 January 2021