MMN-2916

Stability and hyperstability of multi-additive-cubic mappings

  • Ahmad Nejati, Department of Mathematics, Tehran North Branch, Islamic Azad University, Tehran, Iran, ahmadnejati41@gmail.com
  • Abasalt Bodaghi, Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran, abasalt.bodaghi@gmail.com
  • Ayoub Gharibkhajeh, Department of Mathematics, Tehran North Branch, Islamic Azad University, Tehran, Iran, a_gharib@iau-tnb.ac.ir

Abstract

In this article, we unify the system of functional equations defining a multi additive-cubic mapping to obtain a single equation. Using a fixed point theorem, we study the generalized Hyers-Ulam stability of such equation. As a result, we show that the multi-additive-cubic functional equation is hyperstable.


Vol. 22 (2021), No. 2, pp. 807-818
DOI: 10.18514/MMN.2021.2916


Download: MMN-2916