Approximate Homomorphisms and Derivations on Normed Lie Triple Systems

Abstract EN

We investigate the generalized Hyers-Ulam stability of homomorphisms and derivations on normed Lie triple systems for the following generalized Cauchy-Jensen additive equation r 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 ) , where r 0 , s , and t are nonzero real numbers.

As a results, we generalize some stability results concerning this equation.