On the stability of the orthogonal Pexiderized Cauchy equation

Details On the stability of the orthogonal Pexiderized Cauchy equation On the stability of the orthogonal Pexiderized Cauchy equation

2004-12-23

arxiv.org/abs/math/0412474v1

J. Math. Anal. Appl. 318 (2006), no.1, 211-223.

Mathematics

Functional Analysis

18 pages

Scientific paper

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
$f_1(x+y)=f_2(x)+f_3(y)$, $x\perp y$ in which $\perp$ is the orthogonality in
the sense of Ratz.

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