Characterization, stability and hyperstability of multi-quadratic–cubic mappings

Abstract In this paper, we unify the system of functional equations defining a multi-quadratic–cubic mapping to a single equation. Applying a fixed point theorem, we study the generalized Hyers–Ulam stability of multi-quadratic–cubic mappings. As a result, we investigate the hyperstability of multi-...

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Bibliographic Details
Main Authors: Abasalt Bodaghi, Ajda Fošner
Format: Article
Language:English
Published: SpringerOpen 2021-03-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-021-02580-4
Description
Summary:Abstract In this paper, we unify the system of functional equations defining a multi-quadratic–cubic mapping to a single equation. Applying a fixed point theorem, we study the generalized Hyers–Ulam stability of multi-quadratic–cubic mappings. As a result, we investigate the hyperstability of multi-quadratic–cubic mappings in some senses.
ISSN:1029-242X