STABILITY OF J*-DERIVATIONS

초록

Gordji et al. proved the Hyers-Ulam stability and the superstability of J*-derivations in J*-algebras for the generalized Jensen type functional equation rf (x + y/r) + rf (x - y/r) = 2f(x) by using direct method and by fixed point method. They only proved the theorems for the case r > 1. In this paper, we prove the Hyers-Ulam stability and the superstability of J*-derivations in J*-algebras for the case r not equal 0 of the above generalized Jensen type functional equation by using direct method and by fixed point method under slightly different conditions.

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