Characterization and Stability of Multimixed Additive-Quartic Mappings: A Fixed Point Application

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 mapp...

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Bibliographic Details
Published in:Journal of function spaces 2021, Vol.2021, p.1-11
Main Authors: Bodaghi, Abasalt, Alias, Idham Arif, Mousavi, Lida, Hosseini, Sedigheh
Format: Article
Language:English
Subjects:
Functional equations
Hypotheses
Mapping
Mathematical analysis
Mathematicians
Stability
Variables
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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.
ISSN:2314-8896
2314-8888
DOI:10.1155/2021/9943199