Generalized Euler-Lagrange (m,n)-cubic functional equation and its stability

Document Type : Research Paper


1 University College London, Department of Statistical Science, 1-19 Torrington Place, London, UK

2 Department of Mathematics, Thiruvalluvar University College of Arts and Science, Kariyampatti, Tirupattur-635 901, Tamilnadu, India

3 Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea

4 Department of Data Science, Daejin University, Kyunggi 11159, Korea


In this article, we introduce a new generalized Euler-Lagrange $(m,n)$-cubic functional equation with its general solution. Also, we investigate its various stabilities related to the Ulam problem in fuzzy normed linear spaces using Felbin's concept. Also, we provide a counter-example for the non-existence of stability of a generalized Euler-Lagrange $(m,n)$-cubic functional equation.


Volume 14, Issue 1
January 2023
Pages 193-204
  • Receive Date: 18 July 2022
  • Revise Date: 29 August 2022
  • Accept Date: 02 September 2022