On the Stability of a Generalized Quadratic and Quartic Type Functional Equation in Quasi-Banach Spaces
نویسندگان
چکیده
منابع مشابه
On the Stability of a Generalized Quadratic and Quartic Type Functional Equation in Quasi-Banach Spaces
The stability problem of functional equations originated from a question of Ulam 1 in 1940, concerning the stability of group homomorphisms. Let G1, · be a group and let G2, ∗ be a metric group with the metric d ·, · . Given ε > 0, does there exist a δ > 0, such that if a mapping h : G1 → G2 satisfies the inequality d h x · y , h x ∗ h y < δ for all x, y ∈ G1, then there exists a homomorphism H...
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and Applied Analysis 3 vector spaces X and Y is a solution of 1.5 if and only if there exists a unique function C : X × X × X → Y such that f x C x, x, x for all x ∈ X, and C is symmetric for each fixed one variable and is additive for fixed two variables see also 20 . The quartic functional equation 1.6 was introduced by Rassias 21 in 2000 and then in 2005 was employed by Park and Bae 22 and o...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2009
ISSN: 1029-242X
DOI: 10.1155/2009/153084