Approximate Homomorphisms and Derivations on Normed Lie Triple Systems

Autor: Hark-Mahn Kim, Juri Lee
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Journal of Function Spaces, Vol 2014 (2014)
Druh dokumentu: article
ISSN: 2314-8896
2314-8888
DOI: 10.1155/2014/754291
Popis: We investigate the generalized Hyers-Ulam stability of homomorphisms and derivations on normed Lie triple systems for the following generalized Cauchy-Jensen additive equation r0f((s∑j=1pxj+t∑j=1dyj)/r0)=s∑j=1p‍f(xj)+t∑j=1d‍f(yj), where r0,s, and t are nonzero real numbers. As a results, we generalize some stability results concerning this equation.
Databáze: Directory of Open Access Journals