Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4623694 | Journal of Mathematical Analysis and Applications | 2006 | 13 Pages |
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 Rätz.
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