Article ID Journal Published Year Pages File Type
4582327 Expositiones Mathematicae 2013 11 Pages PDF
Abstract

In this paper, we investigate homomorphisms and derivations in proper JCQ∗JCQ∗-triples with the following functional equation: 1kf(kx+ky+kz)=f(x)+f(y)+f(z) for a fixed positive integer kk. We moreover prove the generalized Hyers–Ulam stability of homomorphisms in proper JCQ∗JCQ∗-triples and of derivations on proper JCQ∗JCQ∗-triples via a fixed point method.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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