Approximate multi-Jensen-cubic mappings and a fixed point theorem
und | 31. Dez. 2020
Über diesen Artikel
Online veröffentlicht: 31. Dez. 2020
Seitenbereich: 141 - 154
Eingereicht: 04. Okt. 2019
Akzeptiert: 28. Feb. 2020
DOI: https://doi.org/10.2478/aupcsm-2020-0011
Schlüsselwörter
© 2020 Elahe Ramzanpour et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.
In this paper, we introduce multi-Jensen-cubic mappings and unify the system of functional equations defining the multi-Jensen-cubic mapping to a single equation. Applying a fixed point theorem, we establish the generalized Hyers-Ulam stability of multi-Jensen-cubic mappings. As a known outcome, we show that every approximate multi-Jensen-cubic mapping can be multi-Jensen-cubic.