Summary.
We give a representation for the set-valued solutions, with closed convex and locally compact values, of a general linear equation as a sum of an additive mapping and a constant set.
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Popa, D., Vornicescu, N. Locally compact set-valued solutions for the general linear equation . Aequ. math. 67, 205–215 (2004). https://doi.org/10.1007/s00010-003-2699-1
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DOI: https://doi.org/10.1007/s00010-003-2699-1