The stability of additive-quadratic functional equations in paranormed spaces

Chang Il Kim, C. Kang
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Abstract

In this paper, we prove the generalized Hyers-Ulam stability for the following additive-quadratic functional equation f(2x + y)− f(x + 2y) + f(x− y)− f(y − x)− 3f(x) + 3f(y) = 0 in paranormed spaces by using the fixed point method. Mathematics Subject Classification: 39B52, 39B72, 47H10
副形空间中加性二次泛函方程的稳定性
本文利用不动点法证明了副形空间中f(2x + y) - f(x + 2y) + f(x−y) - f(y−x) - 3f(x) + 3f(y) = 0的加性二次泛函方程的广义Hyers-Ulam稳定性。数学学科分类:39B52、39B72、47H10
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