On an equation characterizing multi-Jensen-quadratic mappings and its Hyers-Ulam stability via a fixed point method
type: Item
instance of: scholarly article
title: On an equation characterizing multi-Jensen-quadratic mappings and its Hyers-Ulam stability via a fixed point method
zbMATH Open document ID: 1360.39019
author: Anna Bahyrycz
author: Krzysztof Ciepliński
published in: Journal of Fixed Point Theory and Applications
publication date: 2017-01-26T00:00:00Z
review text: A mapping \(f: G^n\to H\) is called multi-Jensen-quadratic if it satisfies the Jensen equation on some fixed variables and the Jordan-von Neumann equation on the remaining ones (i.e., it satisfies some system of functional equations). The authors introduce a single functional equation which characterizes the above mentioned class of mappings. Then, applying a fixed point technique, the Hyers-Ulam stability of this newly introduced equation is considered -- in Banach spaces as well as in complete non-Archimedean normed spaces.
reviewed by: Jacek Chmieliński
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 39B72
Mathematics Subject Classification ID: 39B52
Mathematics Subject Classification ID: 46S10
zbMATH DE Number: 6678393
zbMATH Keywords: multi-Jensen-quadratic mapping
zbMATH Keywords: Hyers-Ulam stability
zbMATH Keywords: fixed point method
zbMATH Keywords: non-Archimedean space
zbMATH Keywords: system of functional equations
Wikidata QID: Q59471936
MaRDI profile type: Publication
full work available at URL: s11784-016-0298-8
OpenAlex ID: W2470685786
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DOI: 10.1007/S11784-016-0298-8
description: scientific article; zbMATH DE number 6678393