New criteria for the existence of a continuous \(\epsilon\)-selection

DOI10.1134/S0001434618110147zbMath1408.41021OpenAlexW2906954629MaRDI QIDQ668289

I. G. Tsar'kov

Publication date: 19 March 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618110147

zbMATH Keywords

fixed pointcontinuous \({\epsilon}\)-selection

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (5)

Solarity and connectedness of sets in the space and in finite-dimensional polyhedral spaces ⋮ Approximative properties of sets and continuous selections ⋮ Properties of monotone connected sets ⋮ Local approximation properties of sets and continuous selections on them ⋮ Properties of monotone path-connected sets

Cites Work

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• Stability of the operator of $ \varepsilon$-projection to the set of splines in $ C \lbrack 0,1 \rbrack $
• Continuous selection for set-valued mappings
• Topological Fixed Point Theory of Multivalued Mappings

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