Summary
In this note we establish conditions under which every midconvex set-valued function can be represented as sum of an additive function and a convex set-valued function. These results improve some theorems obtained in [8], [10] and [3]. Some results on local Jensen selections of midconvex set-valued functions are also given.
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Nikodem, K., Papalini, F. & Vercillo, S. Some representations of midconvex set-valued functions. Aeq. Math. 53, 127–140 (1997). https://doi.org/10.1007/BF02215969
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DOI: https://doi.org/10.1007/BF02215969