Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations. (10th October 2022)

• Record Type: Journal Article
• Authors: Bodaghi, Abasalt; Moshtagh, Hossein; Mousivand, Amir
• Other Names: Chifu Cristian Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-10-10
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/3021457
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : The aim of the current article is to characterize and to prove the stability of multi-Euler-Lagrange quadratic mappings. In other words, it reduces a system of equations defining the multi-Euler-Lagrange quadratic mappings to an equation, say, the multi-Euler-Lagrange quadratic functional equation. Moreover, some results corresponding to known stability (Hyers, Rassias, and Gӑvruta) outcomes regarding the multi-Euler-Lagrange quadratic functional equation are presented in quasi-β -normed and Banach spaces by using the fixed point methods. Lastly, an example for the nonstable multi-Euler-Lagrange quadratic functional equation is indicated.