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Stability of the Cauchy functional equation in metric groupoids

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Aequationes mathematicae Aims and scope Submit manuscript

Summary.

Applying the concept of shadowing to stability of functional equations we generalize some classical stability results of the Cauchy functional equations onto locally 2-divisible metric groupoids.

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Authors and Affiliations

  1. Institute of Mathematics, Jagiellonian University, Reymonta 4, PL-30-059, Kraków, Poland

    Jacek Tabor

  2. Institute of Mathematics, University of Rzeszów, Rejtana 16A, PL-Rzeszów, 35-310, Poland

    Józef Tabor

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  1. Jacek Tabor
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  2. Józef Tabor
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Correspondence to Jacek Tabor.

Additional information

Manuscript received: October 7, 2006 and, in final form, June 12, 2007.

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Tabor, J., Tabor, J. Stability of the Cauchy functional equation in metric groupoids. Aequ. math. 76, 92–104 (2008). https://doi.org/10.1007/s00010-007-2912-8

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  • DOI: https://doi.org/10.1007/s00010-007-2912-8

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