Non-Archimedean Hyers-Ulam Stability of an Additive-Quadratic Mapping

作者：Kenary Hassan Azadi; Rassias Themistocles M; Rezaei H; Talebzadeh S; Park Won Gil^*

来源：Discrete Dynamics in Nature and Society, 2012, 824257.

DOI：10.1155/2012/824257

Using fixed point method and direct method, we prove the Hyers-Ulam stability of the following additive-quadratic functional equation r(2) f((x + y + z)/r) + r(2)f((x - y + z)/r) + r(2)f((x + y - z)/r) + r(2)f((-x + y + z)/r) = 4f(x) + 4f(y) +4f(z), where r is a positive real number, in non-Archimedean normed spaces.

• 出版日期2012