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
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
Journal title :
Journal of Mathematical Analysis and Applications
