A fixed point theorem and the Hyers-Ulam stability in non-Archimedean spaces
type: Item
instance of: scholarly article
title: A fixed point theorem and the Hyers-Ulam stability in non-Archimedean spaces
zbMATH Open document ID: 1286.47049
author: Krzysztof Ciepliński
author: Janusz Brzdȩk
published in: Journal of Mathematical Analysis and Applications
publication date: 2013-02-21T00:00:00Z
review text: In this paper, a fixed point theorem in complete non-Archimedean normed space is proved. As an application, the Hyers-Ulam stability of some functional equations is proved. Examples are provided for Hyers-Ulam stability of functional equations in several variables.
reviewed by: Bhavana Deshpande
Mathematics Subject Classification ID: 47S10
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 39B82
zbMATH DE Number: 6138104
zbMATH Keywords: non-Archimedean normed space
zbMATH Keywords: fixed point
zbMATH Keywords: Hyers-Ulam stability
zbMATH Keywords: linear functional equation
zbMATH Keywords: square symmetric groupoid
MaRDI profile type: Publication
full work available at URL: j.jmaa.2012.11.011
OpenAlex ID: W2088145369
DOI: 10.1016/J.JMAA.2012.11.011
description: scientific article; zbMATH DE number 6138104