On the stability of the orthogonal Pexiderized Cauchy equation
Abstract
We investigate the stability of Pexiderized mappings in Banach modules over a unital Banach algebra. As a consequence, we establish the Hyers--Ulam stability of the orthogonal Cauchy functional equation of Pexider type f1(x+y)=f2(x)+f3(y), x y in which is the orthogonality in the sense of Ratz.
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