Characterization and stability of multimixed additive-quartic mappings: a fixed point application
type: Item
instance of: scholarly article
title: Characterization and stability of multimixed additive-quartic mappings: a fixed point application
zbMATH Open document ID: 1479.39027
DOI: 10.1155/2021/9943199
author: Abasalt Bodaghi
author: Idham Arif Alias
author: Lida Mousavi
author: Sedigheh Hosseini
published in: Journal of Function Spaces
publication date: 2021-12-16T00:00:00Z
review text: Summary: In this article, we introduce the multi-additive-quartic and the multimixed additive-quartic mappings. We also describe and characterize the structure of such mappings. In other words, we unify the system of functional equations defining a multi-additive-quartic or a multimixed additive-quartic mapping to a single equation. We also show that under what conditions, a multimixed additive-quartic mapping can be multiadditive, multiquartic, and multi-additive-quartic. Moreover, by using a fixed point technique, we prove the Hyers-Ulam stability of multimixed additive-quartic functional equations thus generalizing some known results.
Mathematics Subject Classification ID: 39B12
Mathematics Subject Classification ID: 39B82
zbMATH DE Number: 7446751
zbMATH Keywords: multimixed additive-quartic mapping
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/9943199
OpenAlex ID: W3211504912
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description: scientific article; zbMATH DE number 7446751