The Stability of a Quadratic Functional Equation with the Fixed Point Alternative

초록

Lee, An and Park introduced the quadratic functional equation f(2x+y) + f(2x-y) = 8f(x) + 2f(y) and proved the stability of the quadratic functional equation in the spirit of Hyers, Ulam and Th. M. Rassias. Using the fixed point method, we prove the generalized Hyers-Ulam stability of the quadratic functional equation in Banach spaces.

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