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