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Matematicheskie Zametki, 2017, Volume 101, Issue 6, Pages 919–931
DOI: https://doi.org/10.4213/mzm11342 (Mi mzm11342) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Continuous ε-Selection and Monotone Path-Connected Sets

I. G. Tsar'kov

Lomonosov Moscow State University
Full-text PDF (508 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm11342
Abstract: The sets with continuous selection from near-best approximations and the monotone path-connected sets are studied; several examples of such sets are also considered.
Keywords: continuous selections, monotone path-connected sets.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00295-a
This work was supported by the Russian Foundation for Basic Research under grant 16-01-00295-a.
Received: 12.08.2016
Revised: 08.12.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 6, Pages 1040–1049
DOI: https://doi.org/10.1134/S0001434617050315
Bibliographic databases:
Document Type: Article
UDC: 517.982.256
Language: Russian
Citation: I. G. Tsar'kov, “Continuous ε-Selection and Monotone Path-Connected Sets”, Mat. Zametki, 101:6 (2017), 919–931; Math. Notes, 101:6 (2017), 1040–1049
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm11342
  • https://doi.org/10.4213/mzm11342
  • https://www.mathnet.ru/eng/mzm/v101/i6/p919
    • This publication is cited in the following 7 articles:
    1. A. R. Alimov, K. S. Ryutin, I. G. Tsar'kov, “Existence, uniqueness, and stability of best and near-best approximations”, Russian Math. Surveys, 78:3 (2023), 399–442  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. I. G. Tsar'kov, “Solarity and connectedness of sets in the space C[a,b] and in finite-dimensional polyhedral spaces”, Sb. Math., 213:2 (2022), 268–282  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    3. A. R. Alimov, I. G. Tsar'kov, “Solarity and proximinality in generalized rational approximation in spaces C(Q) and Lp”, Russ. J. Math. Phys., 29:3 (2022), 291  crossref  mathscinet
    4. I. G. Tsar'kov, “Properties of Monotone Connected Sets”, Math. Notes, 109:5 (2021), 819–827  mathnet  crossref  crossref  isi  elib
    5. I. G. Tsar'kov, “Approximative properties of sets and continuous selections”, Sb. Math., 211:8 (2020), 1190–1211  mathnet  crossref  crossref  zmath  adsnasa  isi  elib
    6. I. G. Tsar'kov, “Local Approximation Properties of Sets and Continuous Selections on Them”, Math. Notes, 106:6 (2019), 995–1008  mathnet  crossref  crossref  mathscinet  isi  elib
    7. I. G. Tsar'kov, “Continuous selections for metric projection operators and for their generalizations”, Izv. Math., 82:4 (2018), 837–859  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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