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Sbornik: Mathematics, 2019, Volume 210, Issue 9, Pages 1326–1347
DOI: https://doi.org/10.1070/SM9107 (Mi sm9107) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Weakly monotone sets and continuous selection in asymmetric spaces

I. G. Tsar'kov

Lomonosov Moscow State University, Moscow, Russia
English version PDF (560 kB) Citations (22) Russian version article
References:
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DOI: https://doi.org/10.1070/SM9107
Abstract: Sets admitting a continuous selection from the set of near best approximations are studied. Applications of the geometric theory of approximation to the existence of continuous selections for the sets of $n$-link piecewise linear functions, $n$-link piecewise polynomial functions and generalizations thereof are also discussed.
Bibliography: 23 titles.
Keywords: continuous selection, sun, fixed point.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00332-a
This research was carried out with the financial support of the Russian Foundation for Basic Research (grant no. 19-01-00332-a).
Received: 29.03.2018 and 23.10.2018
Bibliographic databases:
Document Type: Article
UDC: 517.982.256
MSC: Primary 41A65; Secondary 47H10
Language: English
Original paper language: Russian
Citation: I. G. Tsar'kov, “Weakly monotone sets and continuous selection in asymmetric spaces”, Sb. Math., 210:9 (2019), 1326–1347
Citation in format AMSBIB
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\paper Weakly monotone sets and continuous selection in asymmetric spaces
\jour Sb. Math.
\yr 2019
\vol 210
\issue 9
\pages 1326--1347
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  • https://www.mathnet.ru/eng/sm/v210/i9/p129
    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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