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Mathematics of the USSR-Izvestiya, 1983, Volume 20, Issue 3, Pages 435–448
DOI: https://doi.org/10.1070/IM1983v020n03ABEH001358 (Mi im1623) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Approximation of semicontinuous multivalued mappings by continuous ones

S. M. Aseev
English version PDF (670 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/IM1983v020n03ABEH001358
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.
Received: 19.06.1981
Bibliographic databases:
Document Type: Article
UDC: 513.88+517.5
MSC: Primary 54C08, 54C60; Secondary 52A20, 54C65, 54E35
Language: English
Original paper language: Russian
Citation: S. M. Aseev, “Approximation of semicontinuous multivalued mappings by continuous ones”, Math. USSR-Izv., 20:3 (1983), 435–448
Citation in format AMSBIB
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\by S.~M.~Aseev
\paper Approximation of semicontinuous multivalued mappings by continuous ones
\jour Math. USSR-Izv.
\yr 1983
\vol 20
\issue 3
\pages 435--448
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\zmath{https://zbmath.org/?q=an:0533.54010|0512.54010}
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  • https://www.mathnet.ru/eng/im/v46/i3/p460
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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