Characterization and stability of multi-cubic mappings

Document Type : Research Paper


Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran


In this article, we introduce a new class of multi-cubic mappings and then unify a system of cubic functional equations defining a multi-cubic mapping to an equation, as multi-cubic functional equation. Moreover, we show that the mentioned equation describes the multi-cubic mappings. Furthermore, we prove the Hyers-Ulam stability of multi-cubic mappings in non-Archimedean normed spaces by applying a known fixed point theorem.