Title of article :
On an equation characterizing multi-quartic mappings and its stability
Author/Authors :
Abbasbeygi, Zohreh Department of Mathematics - Islamic Azad University Tehran North Branch, Tehran, Iran , Bodaghi, Abasalt Department of Mathematics - Islamic Azad University Garmsar Branch, Garmsar, Iran , Gharibkhajeh, Ayoub Department of Mathematics - Islamic Azad University Tehran North Branch, Tehran, 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 :
Multi-quartic functional equation , Multi-quartic mapping , Non-Archimedean normed space , Hyers-Ulam stability
Journal title :
International Journal of Nonlinear Analysis and Applications
