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Title: On sandwich theorem for delta-subadditive and delta-superadditive mappings
Authors: Olbryś, Andrzej
Keywords: additive mapping; delta-subadditive mapping; delta-superadditive mapping; Functional inequality
Issue Date: 2017
Citation: Results in Mathmatics, Vol. 72 no. 1/2 (2017
Abstract: In the present paper, inspired by methods contained in Gajda and Kominek (Stud Math 100:25–38, 1991) we generalize the well known sandwich theorem for subadditive and superadditive functionals to the case of delta-subadditive and delta-superadditive mappings. As a consequence we obtain the classical Hyers–Ulam stability result for the Cauchy functional equation. We also consider the problem of supporting delta-subadditive maps by additive ones.
DOI: 10.1007/s00025-016-0627-7
ISSN: 1422-6383
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