In the current investigation, we define s-multi-radical mappings, characterize the structure of such mappings and then obtain an equation for describing them. In fact, we find a necessary and sufficient condition for a multiple mapping to be s-multi-radical. We also deal with the Hyers-Ulam stability in the spirit of Gavruta for an s-multi-radical equation by applying the so-called direct (Hyers) method in the setting of 2-Banach spaces. For a typical case, by means of a norm, induced from a 2-norm of $\mathbb R^m$, we investigate the stability of a mapping $f:\mathbb R^{mn} \longrightarrow \mathbb R^{m}$ by a known fixed point method.
Bodaghi,A. and Hosseini,S. (2025). Characterization and the stability of a system of multi-radical mappings related to the additive mapping. (e5787). AUT Journal of Mathematics and Computing, (), e5787 doi: 10.22060/ajmc.2025.23946.1341
MLA
Bodaghi,A. , and Hosseini,S. . "Characterization and the stability of a system of multi-radical mappings related to the additive mapping" .e5787 , AUT Journal of Mathematics and Computing, , , 2025, e5787. doi: 10.22060/ajmc.2025.23946.1341
HARVARD
Bodaghi A., Hosseini S. (2025). 'Characterization and the stability of a system of multi-radical mappings related to the additive mapping', AUT Journal of Mathematics and Computing, (), e5787. doi: 10.22060/ajmc.2025.23946.1341
CHICAGO
A. Bodaghi and S. Hosseini, "Characterization and the stability of a system of multi-radical mappings related to the additive mapping," AUT Journal of Mathematics and Computing, (2025): e5787, doi: 10.22060/ajmc.2025.23946.1341
VANCOUVER
Bodaghi A., Hosseini S. Characterization and the stability of a system of multi-radical mappings related to the additive mapping. AUT J Math Comput, 2025; (): e5787. doi: 10.22060/ajmc.2025.23946.1341
