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Using the fixed point approach, we prove some results on hyperstability of the following quadratic functional equation f(x+ y + z) + f(x− y) + f(x− z) + f(y − z) = 3[f(x) + f(y) + f(z)], in the class of functions from an abelian group into a Banach space. c ©2016 All rights reserved.

Hyperstability of a quadratic functional equation on abelian group and inner product spaces