The Hyers–ulam Stability for Two Functional Equations in a Single Variable
نویسنده
چکیده
We apply the Luxemburg–Jung fixed point theorem in generalized metric spaces to study the Hyers–Ulam stability for two functional equations in a single variable.
منابع مشابه
A Hyers-Ulam-Rassias stability result for functional equations in Intuitionistic Fuzzy Banach spaces
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Problem 1.1. Given a metric group (G,·,d), a positive number ε, and a mapping f : G→ G which satisfies the inequality d( f (xy), f (x) f (y)) ≤ ε for all x, y ∈ G, do there exist an automorphism a of G and a constant δ depending only on G such that d(a(x), f (x)) ≤ δ for all x ∈G? If the answer to this question is affirmative, we say that the equation a(xy) = a(x)a(y) is stable. A first answer ...
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تاریخ انتشار 2008