Hyers-Ulam-Rassias stability of a generalized Pexider functional equation

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Hyers–ulam–rassias Stability of a Generalized Pexider Functional Equation

In this paper, we obtain the Hyers–Ulam–Rassias stability of the generalized Pexider functional equation ∑ k∈K f(x+ k · y) = |K|g(x) + |K|h(y), x, y ∈ G, where G is an abelian group, K is a finite abelian subgroup of the group of automorphism of G. The concept of Hyers–Ulam–Rassias stability originated from Th.M. Rassias’ Stability Theorem that appeared in his paper: On the stability of the lin...

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ژورنال

عنوان ژورنال: Banach Journal of Mathematical Analysis

سال: 2007

ISSN: 1735-8787

DOI: 10.15352/bjma/1240336214