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Separately continuous selectors
Yu. E. Linke Irkutsk Computer Centre, Siberian Branch of RAS
Abstract:
The existence of separately continuous selectors of a separately lower and upper semicontinuous many-valued multivariate map is proved, provided its domain is a compact set and its range is a convex closed subset of a metrizable convex compact set.
Received: 05.01.1995
Citation:
Yu. E. Linke, “Separately continuous selectors”, Mat. Zametki, 63:2 (1998), 209–216; Math. Notes, 63:2 (1998), 183–189
Linking options:
https://www.mathnet.ru/eng/mzm1267https://doi.org/10.4213/mzm1267 https://www.mathnet.ru/eng/mzm/v63/i2/p209
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