On Asymptotic Behavior of a 2-Linear Functional Equation

Jae-Hyeong Bae, Mohammad B. Moghimi, Abbas Najati and Batool Noori
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Jae-Hyeong Bae: Humanitas College, Kyung Hee University, Yongin 17104, Korea
Mohammad B. Moghimi: Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran
Abbas Najati: Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran
Batool Noori: Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran

Mathematics, 2022, vol. 10, issue 10, 1-10

Abstract: 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.

Keywords: Hyers–Ulam stability; 2-linear functional equation; asymptotic behavior; 2-Banach space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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