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

نویسندگان
Rassias, Matina J. ID 1
Park, Choonkil ID 2
Lee, Jung Rye ID 3
Narasimman, P. ID 4

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

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

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

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

doi
10.22075/ijnaa.2022.28235.3840
چکیده

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.

کلیدواژه‌ها
Euler-Lagrange cubic functional equation, Hyers-Ulam stability, generalized Hyers-Ulam- stability, Fuzzy normed linear space