On an equation characterizing multi-cubic mappings and its stability and hyperstability

Autor: Bodaghi, Abasalt, Shojaee, Behrouz
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper, we introduce $n$-variables mappings which are cubic in each variable. We show that such mappings satisfy a functional equation. The main purpose is to extend the applications of a fixed point method to establish the Hyers-Ulam stability for the multi-cubic mappings. As a consequence, we prove that a multi-cubic functional equation can be hyperstable.
Comment: Accepted in Fixed Point Theory
Databáze: arXiv