Abstract:
Properties of semicontinuous multivalued mappings are studied that are analogous to properties of semicontinuous single-valued functions. Theorems are proved on monotone approximation of semicontinuous multivalued mappings by continuous ones, and a theorem is proved on separating a lower semicontinuous multivalued mapping from an upper semicontinuous one imbedded in it by a continuous multivalued mapping.
Bibliography: 10 titles.
This publication is cited in the following 5 articles:
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