Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841505 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 7 Pages |
Abstract
We prove that a set-valued map satisfying a linear functional inclusion in a single variable admits (in appropriate conditions) a unique selection satisfying a linear functional equation in a single variable. As a consequence there follow results on the Hyers–Ulam stability of the linear functional equation in a single variable and the equation of homomorphism (of square symmetric groupoids).
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Authors
Janusz Brzdȩk, Dorian Popa, Bing Xu,