Functional Inequalities Associated with Jordan‐von Neumann‐Type Additive Functional Equations
نویسندگان
چکیده
منابع مشابه
Generalized additive functional inequalities in Banach algebras
Using the Hyers-Ulam-Rassias stability method, weinvestigate isomorphisms in Banach algebras and derivations onBanach algebras associated with the following generalized additivefunctional inequalitybegin{eqnarray}|af(x)+bf(y)+cf(z)| le |f(alpha x+ beta y+gamma z)| .end{eqnarray}Moreover, we prove the Hyers-Ulam-Rassias stability of homomorphismsin Banach algebras and of derivations on Banach ...
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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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using the hyers-ulam-rassias stability method, weinvestigate isomorphisms in banach algebras and derivations onbanach algebras associated with the following generalized additivefunctional inequalitybegin{eqnarray}|af(x)+bf(y)+cf(z)| le |f(alpha x+ beta y+gamma z)| .end{eqnarray}moreover, we prove the hyers-ulam-rassias stability of homomorphismsin banach algebras and of derivations on banach ...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2007
ISSN: 1025-5834,1029-242X
DOI: 10.1155/2007/41820