International Journal of Nonlinear Analysis and Applications

On an equation characterizing multi-quartic mappings and its stability

Document Type : Research Paper

Authors

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

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

Abstract

In this paper, we define and investigate the mappings of several variables which are quartic in each variable. We show that such mappings can be unified as an equation, say the multi-quartic functional equation. We also establish the Hyers-Ulam stability of a such functional equation by a fixed point theorem in non-Archimedean normed spaces. Moreover, we generalize some known stability and hyperstability results.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 1
March 2022
Pages 991-1002
  • Receive Date: 18 May 2021
  • Revise Date: 22 July 2021
  • Accept Date: 07 September 2021