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Note on Stability of Approximately Additive Mappings Almost Everywhere

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Abstract.

In this note the Hyers–Ulam–Rassias–Găvruta stability of approximately additive mappings almost everywhere is considered. The main theorem is a generalization of a result of Găvruta and corresponds with known results on almost additive mappings.

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  1. Institute of Mathematics, Jan Kochanowski University, Świętokrzyska 15, PL-25-406, Kielce, Poland

    Andrzej Mach

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  1. Andrzej Mach
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Correspondence to Andrzej Mach.

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Received: October 22, 2008. Revised: August 3, 2009.

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Mach, A. Note on Stability of Approximately Additive Mappings Almost Everywhere. Results. Math. 55, 437 (2009). https://doi.org/10.1007/s00025-009-0436-3

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  • DOI: https://doi.org/10.1007/s00025-009-0436-3

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