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Metric characterizations of upper semicontinuity |
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| Authors: | Szymon Dolecki Stefan Rolewicz |
| Institution: | Institute of Mathematics, Polish Academy of Sciences, Sniadeckich 8, Warsaw, Poland |
| Abstract: | We characterize upper semicontinuity of multifunctions in terms of upper Hausdorff semicontinuity, measure of non compactness and active boundary. The results are applicable in optimization, theory of best approximation and in metrizability theory. |
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