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

Abasalt Bodaghi | Zendy; Idham Arif Alias | Zendy; Lida Mousavi | Zendy; Sedigheh Hosseini | Zendy

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

Author(s) -

Abasalt Bodaghi,

Idham Arif Alias,

Lida Mousavi,

Sedigheh Hosseini

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/9943199

Subject(s) - quartic function , quartic surface , mathematics , stability (learning theory) , fixed point , characterization (materials science) , pure mathematics , point (geometry) , mathematical analysis , computer science , physics , geometry , machine learning , optics

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.

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