DOI: 10.24193/fpt-ro.2021.1.06

Authors: Abasalt Bodaghi and Behrouz Shojaee

Abstract: 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.

Key Words and Phrases: Banach space, Hyers-Ulam stability, multi-cubic mapping.

2010 Mathematics Subject Classification: 39B52, 39B82, 39B72, 47H10.

Published on-line: February 1st, 2021.

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