This article is cited in 1 scientific paper (total in 1 paper)
Weakly monotone sets and continuous selection in asymmetric spaces
I. G. Tsar'kov
Lomonosov Moscow State University, Moscow, Russia
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.
continuous selection, sun, fixed point.
|Russian Foundation for Basic Research
|This research was carried out with the financial support of the Russian Foundation for Basic Research (grant no. 19-01-00332-a).
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Sbornik: Mathematics, 2019, 210:9, 1326–1347
MSC: Primary 41A65; Secondary 47H10
Received: 29.03.2018 and 23.10.2018
I. G. Tsar'kov, “Weakly monotone sets and continuous selection in asymmetric spaces”, Mat. Sb., 210:9 (2019), 129–152; Sb. Math., 210:9 (2019), 1326–1347
Citation in format AMSBIB
\paper Weakly monotone sets and continuous selection in asymmetric spaces
\jour Mat. Sb.
\jour Sb. Math.
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Alimov A.R., “Solarity of Sets in Max-Approximation Problems”, J. Fixed Point Theory Appl., 21:3 (2019), UNSP 76
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