Continuous selections of set-valued mappings and approximation in asymmetric and semilinear spaces

DOI10.4213/im9331eOpenAlexW4387732093MaRDI QIDQ6085108

I. G. Tsar'kov

Publication date: 2 December 2023

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/im9331

zbMATH Keywords

fixed pointconvex setasymmetric normed spaceMichael's selection theoremChebyshev centre\( \varepsilon \)-selectionselections of set-valued mappings

Mathematics Subject Classification ID

Selections in general topology (54C65) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

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• On continuous selections of set-valued mappings with almost convex values
• Uniform convexity in nonsymmetric spaces
• Ball-complete sets and solar properties of sets in asymmetric spaces
• Uniformly and locally convex asymmetric spaces
• Continuity of a metric function and projection in asymmetric spaces
• Properties of suns in the spaces \(L^1\) and \(C(Q)\)
• Continuous ε-selection
• Functional Analysis in Asymmetric Normed Spaces
• Monotone path-connectedness and solarity of Menger-connected sets in Banach spaces
• Continuous selections in asymmetric spaces
• Continuous selections for metric projection operators and for their generalizations
• Separation of Convex Sets and Best Approximation in Spaces with Asymmetric Norm
• The Banach-Mazur theorem for spaces with an asymmetric distance
• Michael's theory of continuous selections. Development and applications
• Properties of monotone path-connected sets
• Solarity and connectedness of sets in the space and in finite-dimensional polyhedral spaces
• Separation axioms and covering dimension of asymmetric normed spaces
• Approximative properties of sets and continuous selections
• Weakly monotone sets and continuous selection in asymmetric spaces
• A Selection Theorem
• On the structure of the complements of Chebyshev sets

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