Stability of the Jensen-type functional equation in \(C^{\ast}\)-algebras: a fixed point approach
type: Item
instance of: scholarly article
title: Stability of the Jensen-type functional equation in \(C^{\ast}\)-algebras: a fixed point approach
zbMATH Open document ID: 1167.39020
DOI: 10.1155/2009/360432
author: Choonkil Park
author: J. M. Rassias
published in: Abstract and Applied Analysis
publication date: 2009-07-02T00:00:00Z
full work available at URL: https://eudml.org/doc/55831
review text: Summary: Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in \(C^{\ast }\)-algebras and Lie \(C^{\ast }\)-algebras and also of derivations on \(C^{\ast }\)-algebras and Lie \(C^{\ast }\)-algebras for the Jensen-type functional equation \(f((x+y)/2)+f((x - y)/2)=f(x)\).
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 39B52
Mathematics Subject Classification ID: 46L57
zbMATH DE Number: 5574417
zbMATH Keywords: fixed point methods
zbMATH Keywords: Hyers-Ulam stability
zbMATH Keywords: homomorphisms
zbMATH Keywords: \(C^{\ast }\)-algebras
zbMATH Keywords: Lie \(C^{\ast }\)-algebras
zbMATH Keywords: derivations
zbMATH Keywords: Jensen-type functional equation
MaRDI profile type: Publication
OpenAlex ID: W2015073541
Wikidata QID: Q58646582
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description: scientific article; zbMATH DE number 5574417