Characterization and Stability of Multimixed Additive-Quartic Mappings: A Fixed Point Application. (12th November 2021)

• Record Type: Journal Article
• Authors: Bodaghi, Abasalt; Alias, Idham Arif; Mousavi, Lida; Hosseini, Sedigheh
• Other Names: Mitrovic Zoran Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-11-12
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/9943199
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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.