On Ulam's Type Stability of the Cauchy Additive Equation. (15th March 2014)

• Record Type: Journal Article
• Authors: Brzdęk, Janusz
• Other Names: Kallur N. Academic Editor.; Yang P. Academic Editor.
• Is Part Of: TheScientificWorldjournal. Volume 2014(2014)
• Publication Date: 2014-03-15
• Subjects: Science -- Periodicals; Technology -- Periodicals; Medicine -- Periodicals; 505
• DOI: 10.1155/2014/540164
• Languages: English
• ISSNs: 2356-6140

Abstract

Abstract : We prove a general result on Ulam's type stability of the functional equation f x + y = f x + f y, in the class of functions mapping a commutative group into a commutative group. As a consequence, we deduce from it some hyperstability outcomes. Moreover, we also show how to use that result to improve some earlier stability estimations given by Isaac and Rassias.