ON SOME SPECIAL TYPES OF e -APPROXIMATIONS FOR SET-VALUED MAPPINGS
نویسنده
چکیده
For upper semicontinuous finite-dimensional set-valued mappings with either convex closed or aspheric closed values we prove the existence of special continuous e -approximations that point-wise converge to a Borel measurable selector of the set-valued mapping as e tends to zero. For convex-valued case the convergence holds on the entire domain while for aspheric-valued case — on a certain countable everywhere dense subset.
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