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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 143, Pages 63–80 (Mi into263)  
This article is cited in 10 scientific papers (total in 10 papers)

Some applications of geometric theory of approximations

I. G. Tsar'kov

Lomonosov Moscow State University
Full-text PDF (279 kB) Citations (10)
Abstract: We study sets with continuous samples of almost best approximations and discuss applications of the geometric theory of approximations to problems related to samples from multi-valued mappings, existence of fixed points, and smooth solutions of the eikonal equation.
Keywords: continuous sample, sun, fixed point, eikonal equation.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00295-a
This work was partially supported by the Russian Foundation for Basic Research (project No. 16-01-00295-a).
English version:
Journal of Mathematical Sciences, 2020, Volume 245, Issue 1, Pages 64–82
DOI: https://doi.org/10.1007/s10958-020-04677-5
Bibliographic databases:
Document Type: Article
UDC: 517.982.256
MSC: 41A65, 54C65,78A05
Language: Russian
Citation: I. G. Tsar'kov, “Some applications of geometric theory of approximations”, Differential equations. Mathematical analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 143, VINITI, M., 2017, 63–80; Journal of Mathematical Sciences, 245:1 (2020), 64–82
Citation in format AMSBIB
\Bibitem{Tsa17}
\by I.~G.~Tsar'kov
\paper Some applications of geometric theory of approximations
\inbook Differential equations. Mathematical analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 143
\pages 63--80
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into263}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801360}
\zmath{https://zbmath.org/?q=an:07248386}
\transl
\jour Journal of Mathematical Sciences
\yr 2020
\vol 245
\issue 1
\pages 64--82
\crossref{https://doi.org/10.1007/s10958-020-04677-5}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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