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Functional inclusions on square-symmetric groupoids and Hyers-Ulam stability. (English) Zbl 1058.39026
The author proves that a subadditive set-valued map between square-symmetric groupoids (under suitable conditions) admits exact one additive selection. As a consequence a nice result concerning the Hyers-Ulam stability of the general linear equation is obtained.

MSC:
39B82 Stability, separation, extension, and related topics for functional equations
54C60 Set-valued maps in general topology
39B62 Functional inequalities, including subadditivity, convexity, etc.
39B52 Functional equations for functions with more general domains and/or ranges
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