Title of article
On the stability of the orthogonal Pexiderized Cauchy equation
Author/Authors
Mohammad Sal Moslehian، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2006
Pages
13
From page
211
To page
223
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.
© 2005 Elsevier Inc. All rights reserved
Keywords
Orthogonal Cauchy functional Pexider equation , Orthogonally additivemapping , Hyers–Ulam stability , Orthogonally quadratic mapping , Orthogonally quadratic equation , orthogonality space , Orthogonal Cauchy equation , Banach module
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2006
Journal title
Journal of Mathematical Analysis and Applications
Record number
934519
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