Density of the points of continuity of the metric function and projection in asymmetric spaces

DOI10.1134/S0001434622110347OpenAlexW4313317399MaRDI QIDQ2680752

I. G. Tsar'kov

Publication date: 4 January 2023

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

Full work available at URL: https://doi.org/10.1134/s0001434622110347

zbMATH Keywords

convex setmetric projectionmetric functionasymmetric space

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46Bxx) Approximations and expansions (41Axx) Topological linear spaces and related structures (46Axx)

Cites Work

• Unnamed Item
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• Functional Analysis in Asymmetric Normed Spaces
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• 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
• Properties of monotone path-connected sets
• 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
• On the structure of the complements of Chebyshev sets

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