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

Autor:	Lida Mousavi, Sedigheh Hosseini, Idham Arif Alias, Abasalt Bodaghi
Rok vydání:	2021
Předmět:	Article Subject Quartic function Mathematical analysis QA1-939 Fixed point Characterization (mathematics) Stability (probability) Mathematics Analysis
Zdroj:	Journal of Function Spaces, Vol 2021 (2021)
ISSN:	2314-8888 2314-8896
DOI:	10.1155/2021/9943199
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7abbbbcbc68609dd65bc9dcae9902b3c https://doi.org/10.1155/2021/9943199 Zobrazit plný text záznamu Plný text ve formátu PDF