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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Autores principales:	Abasalt Bodaghi, Idham Arif Alias, Lida Mousavi, Sedigheh Hosseini
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/079b63f6a7834f388aca7ab1f431daea
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spelling	oai:doaj.org-article:079b63f6a7834f388aca7ab1f431daea2021-11-22T01:11:11ZCharacterization and Stability of Multimixed Additive-Quartic Mappings: A Fixed Point Application2314-888810.1155/2021/9943199https://doaj.org/article/079b63f6a7834f388aca7ab1f431daea2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/9943199https://doaj.org/toc/2314-8888In 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.Abasalt BodaghiIdham Arif AliasLida MousaviSedigheh HosseiniHindawi LimitedarticleMathematicsQA1-939ENJournal of Function Spaces, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Abasalt Bodaghi Idham Arif Alias Lida Mousavi Sedigheh Hosseini Characterization and Stability of Multimixed Additive-Quartic Mappings: A Fixed Point Application
description	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.
format	article
author	Abasalt Bodaghi Idham Arif Alias Lida Mousavi Sedigheh Hosseini
author_facet	Abasalt Bodaghi Idham Arif Alias Lida Mousavi Sedigheh Hosseini
author_sort	Abasalt Bodaghi
title	Characterization and Stability of Multimixed Additive-Quartic Mappings: A Fixed Point Application
title_short	Characterization and Stability of Multimixed Additive-Quartic Mappings: A Fixed Point Application
title_full	Characterization and Stability of Multimixed Additive-Quartic Mappings: A Fixed Point Application
title_fullStr	Characterization and Stability of Multimixed Additive-Quartic Mappings: A Fixed Point Application
title_full_unstemmed	Characterization and Stability of Multimixed Additive-Quartic Mappings: A Fixed Point Application
title_sort	characterization and stability of multimixed additive-quartic mappings: a fixed point application
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/079b63f6a7834f388aca7ab1f431daea
work_keys_str_mv	AT abasaltbodaghi characterizationandstabilityofmultimixedadditivequarticmappingsafixedpointapplication AT idhamarifalias characterizationandstabilityofmultimixedadditivequarticmappingsafixedpointapplication AT lidamousavi characterizationandstabilityofmultimixedadditivequarticmappingsafixedpointapplication AT sedighehhosseini characterizationandstabilityofmultimixedadditivequarticmappingsafixedpointapplication
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Characterization and Stability of Multimixed Additive-Quartic Mappings: A Fixed Point Application

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