Comment on "Functional inequalities associated with Jordan-von Neumann type additive functional equations"

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Research Article Functional Inequalities Associated with Jordan-von Neumann-Type Additive Functional Equations

Ulam [1] gave a talk before theMathematics Club of the University ofWisconsin in which he discussed a number of unsolved problems. Among these was the following question concerning the stability of homomorphisms. We are given a group G and a metric group G with metric ρ( , ). Given > 0, does there exist a δ > 0 such that if f :G G satisfies ρ( f (xy), f (x) f (y)) < δ for all x, y G, then a hom...

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ژورنال

عنوان ژورنال: Journal of Inequalities and Applications

سال: 2012

ISSN: 1029-242X

DOI: 10.1186/1029-242x-2012-47