This article is cited in 4 scientific papers (total in 4 papers)
Continuous selections for metric projection operators and for their generalizations
I. G. Tsar'kov
Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
We study conditions on sets in asymmetric spaces under which there are
continuous $\varepsilon$-selections or continuous selections for the metric
projection. In particular, we give an affirmative answer to Brown's question
on the existence of continuous selections for lower semicontinuous metric
projections in polyhedral spaces.
metric projection, continuous $\varepsilon$-selection, asymmetric spaces,
|Russian Foundation for Basic Research
|This paper was written with the financial support of the Russian
Foundation for Basic Research (grant no. 16-01-00295-a).
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Izvestiya: Mathematics, 2018, 82:4, 837–859
MSC: 54C65, 46B20, 54E25
I. G. Tsar'kov, “Continuous selections for metric projection operators and for their generalizations”, Izv. RAN. Ser. Mat., 82:4 (2018), 199–224; Izv. Math., 82:4 (2018), 837–859
Citation in format AMSBIB
\paper Continuous selections for metric projection operators and for their generalizations
\jour Izv. RAN. Ser. Mat.
\jour Izv. Math.
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This publication is cited in the following articles:
I. G. Tsar'kov, “Local Approximation Properties of Sets and Continuous Selections on Them”, Math. Notes, 106:6 (2019), 995–1008
I. G. Tsar'kov, “Weakly monotone sets and continuous selection in asymmetric spaces”, Sb. Math., 210:9 (2019), 1326–1347
A. R. Alimov, “Vypuklost i monotonnaya lineinaya svyaznost mnozhestv s nepreryvnoi metricheskoi proektsiei v trekhmernykh prostranstvakh”, Tr. IMM UrO RAN, 26, no. 2, 2020, 28–46
I. G. Tsar'kov, “Approximative properties of sets and continuous selections”, Sb. Math., 211:8 (2020), 1190–1211
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