ec 2 00 4 On the stability of the orthogonal

نویسنده

  • Mohammad Sal Moslehian
چکیده

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 ⊥ y in which ⊥ is the orthogonality in the sense of Rätz.

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تاریخ انتشار 2004