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Some New Results on the Superstability of the Cauchy Equation on Semigroups

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In this paper the superstability of the Cauchy equation can be proved for complex valued functions on commutative semigroup under some suitable conditions. Furthermore, in this note, we give a partial affirmative answer to problem 18, in the 31st ISFE.

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Alimohammady, M., Sadeghi, A. Some New Results on the Superstability of the Cauchy Equation on Semigroups. Results. Math. 63, 705–712 (2013). https://doi.org/10.1007/s00025-011-0227-5

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