On an equation characterizing multi-cubic mappings and its stability and hyperstability
Functional Analysis
2019-07-29 v2
Abstract
In this paper, we introduce -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.
Cite
@article{arxiv.1907.09378,
title = {On an equation characterizing multi-cubic mappings and its stability and hyperstability},
author = {Abasalt Bodaghi and Behrouz Shojaee},
journal= {arXiv preprint arXiv:1907.09378},
year = {2019}
}
Comments
Accepted in Fixed Point Theory