Document Type : Research Paper

Authors

• Ali Reza Neisi
• Mohammad Sadegh Asgari

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

Abstract

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.

Keywords

• Fixed point
• Hyers-Ulam stability
• non-Archimedean normed space
• multi-cubic mapping