An example for the nonstability of multicubic mappings

Document Type : Research Paper


Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran


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 $\alpha=3n$.


Articles in Press, Corrected Proof
Available Online from 30 September 2022
  • Receive Date: 11 January 2022
  • Revise Date: 06 September 2022
  • Accept Date: 09 September 2022
  • First Publish Date: 30 September 2022