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arXiv · 0907.2862

On the stability of J$^*-$derivations

M. Eshaghi Gordji·S. Shams·A. Ebadian·M. B. Ghaemi
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Abstract

In this paper, we establish the stability and superstability of $J^*-$derivations in $J^*-$algebras for the generalized Jensen--type functional equation $$rf(\frac{x+y}{r})+rf(\frac{x-y}{r})= 2f(x).$$ Finally, we investigate the stability of $J^*-$derivations by using the fixed point alternative.

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M. Eshaghi Gordji, S. Shams, A. Ebadian, M. B. Ghaemi. 2009-07-16. On the stability of J$^*-$derivations. https://doi.org/10.1016/j.geomphys.2009.11.004

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