On Asymptotic Behavior of a 2-Linear Functional Equation

Mathematics

Mohammad B. Moghimi¹  Abbas Najati¹  Batool Noori¹  Jae-Hyeong Bae² 

[1]Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran

[2]Humanitas College, Kyung Hee University, Yongin 17104, Korea

关键词: Hyers–Ulam stability;    2-linear functional equation;    asymptotic behavior;    2-Banach space;   

DOI  :  10.3390/math10101685

来源: DOAJ

【 摘 要 】

In this paper, we deal with a 2-linear functional equation. The Hyers-Ulam stability of this functional equation is shown on some restricted unbounded domains, and the obtained results are applied to get several hyperstability consequences. Moreover, some asymptotic behaviors of 2-linear functions are investigated. We also study the Hyers-Ulam stability and superstability of the 2-linear functional equation in 2-Banach spaces.

【 授权许可】

Unknown