Fuzzy Stability of Jensen-Type Quadratic Functional Equations

초록

We prove the generalized Hyers-Ulam stability of the following quadratic functional equations 2f((x + y)/2) + 2f((x - y)/2) = f(x) + f(y) and f(ax + ay) + (ax - ay) = 2a(2)f(x) = 2a(2)f(y) in fuzzy Banach spaces for a nonzero real number a with a not equal +/- 1/2.

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