Fixed points and generalized Hyers-Ulam stability of quadratic functional equations
نویسندگان
چکیده
منابع مشابه
Fixed Points and Generalized Hyers–ulam Stability of Quadratic Functional Equations
Let X, Y be complex vector spaces. It is shown that if a mapping f : X → Y satisfies f (x + iy) + f (x− iy) = 2f (x) − 2f (y) (0.1) or f (x + iy) − f (ix + y) = 2f (x) − 2f (y) (0.2) for all x, y ∈ X , then the mapping f : X → Y satisfies f (x + y) + f (x− y) = 2f (x) + 2f (y) for all x, y ∈ X . Furthermore, we prove the generalized Hyers-Ulam stability of the functional equations (0.1) and (0....
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2007
ISSN: 1846-579X
DOI: 10.7153/jmi-01-43