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Commun. Korean Math. Soc. 2024; 39(3): 673-692
Online first article July 18, 2024 Printed July 31, 2024
https://doi.org/10.4134/CKMS.c230166
Copyright © The Korean Mathematical Society.
Multi-Jensen and multi-Euler-Lagrange additive mappings
Abasalt Bodaghi 
, Amir Sahami
Islamic Azad University; Ilam University
In this work, an alternative fashion of the multi-Jensen is introduced. The structures of the multi-Jensen and the multi-Euler-Lagrange-Jensen mappings are described. In other words, the system of $n$ equations defining each of the mentioned mappings is unified as a single equation. Furthermore, by applying a fixed point theorem, the Hyers-Ulam stability for the multi-Euler-Lagrange-Jensen mappings in the setting of Banach spaces is established. An appropriate counterexample is supplied to invalidate the results in the case of singularity for multiadditive mappings.
Keywords: Banach space, Hyers-Ulam stability, multi-Euler-Lagrange additive mapping, multi-Jensen
MSC numbers: 39B52, 39B72, 39B82, 46B03
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