An example for the nonstability of multicubic mappings

نویسندگان

1 Department of Mathematics, West Tehran Branch, Islamic Azad University, Tehran, Iran

doi
10.22075/ijnaa.2022.25878.3150
چکیده

In this paper, we present a counterexample for the nonstability of multicubic mappings. In other words, we show that Corollary 3.5 of [A. Bodaghi and B. Shojaee, On an equation characterizing multi-cubic mappings and its stability and hyperstability, Fixed Point Theory. 22 (2021), No. 1, 83--92] does not hold when $\alpha=3n$.