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Approximate multi-Jensen-cubic mappings and a fixed point theorem

Elahe Ramzanpour

Elahe Ramzanpour

Department of Mathematics, South Tehran Branch, Islamic Azad UniversityTehran,
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Ramzanpour, Elahe
 e 
Abasalt Bodaghi

Abasalt Bodaghi

Department of Mathematics, Garmsar Branch, Islamic Azad UniversityGarmsar,
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Bodaghi, Abasalt
  
31 dic 2020
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Pubblicato online: 31 dic 2020
Pagine: 141 - 154
Ricevuto: 04 ott 2019
Accettato: 28 feb 2020
DOI: https://doi.org/10.2478/aupcsm-2020-0011
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© 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.

Lingua:
Inglese
Frequenza di pubblicazione:
1 volte all'anno
Argomenti della rivista:
Matematica, Matematica generale
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