Characterization and stability analysis of advanced multi-quadratic functional equations

Advances in Difference Equations

Hossein Moshtagh¹  Abasalt Bodaghi²  Hemen Dutta³ 

[1] Department of Computer Science, University of Garmsar, Garmsar, Iran;Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran;Department of Mathematics, Gauhati University, 781014, Guwahati, Assam, India;

关键词: Multi-quadratic mapping;    Multi-quadratic functional equation;    Hyers–Ulam stability;    Fixed point;    39B52;    39B72;    39B82;    46B03;    47H10;   

DOI  :  10.1186/s13662-021-03541-3

来源: Springer

【 摘 要 】

In this paper, we introduce a new quadratic functional equation and, motivated by this equation, we investigate n-variables mappings which are quadratic in each variable. We show that such mappings can be unified as an equation, namely, multi-quadratic functional equation. We also apply a fixed point technique to study the stability for the multi-quadratic functional equations. Furthermore, we present an example and a few corollaries corresponding to the stability and hyperstability outcomes.

【 授权许可】

CC BY