Approximate Homomorphisms and Derivations on Normed Lie Triple Systems. (7th May 2014)

• Record Type: Journal Article
• Authors: Kim, Hark-Mahn; Lee, Juri
• Other Names: Brzdęk Janusz Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2014(2014)
• Publication Date: 2014-05-07
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2014/754291
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We investigate the generalized Hyers-Ulam stability of homomorphisms and derivations on normed Lie triple systems for the following generalized Cauchy-Jensen additive equationr 0 f ( ( s ∑ j = 1 p x j + t ∑ j = 1 d y j ) / r 0 ) = s ∑ j = 1 p ‍ f ( x j ) + t ∑ j = 1 d ‍ f ( y j ), wherer 0, s, and t are nonzero real numbers. As a results, we generalize some stability results concerning this equation.