Weakly monotone sets and continuous selection in asymmetric spaces
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Publication:5243163
DOI10.1070/SM9107zbMath1428.41042OpenAlexW2946164376WikidataQ127873827 ScholiaQ127873827MaRDI QIDQ5243163
Publication date: 15 November 2019
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm9107
Selections in general topology (54C65) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)
Related Items (19)
Uniformly and locally convex asymmetric spaces ⋮ Finite-dimensional spaces where the class of Chebyshev sets coincides with the class of closed and monotone path-connected sets ⋮ Continuity of a metric function and projection in asymmetric spaces ⋮ Suns, moons, and \(\mathring{B}\)-complete sets in asymmetric spaces ⋮ Monotone path-connectedness of strict suns ⋮ \(\mathring{B}\)-complete sets: approximative and structural properties ⋮ Solarity and proximinality in generalized rational approximation in spaces \(C(Q)\) and \(L^p\) ⋮ Reflexivity for spaces with extended norm ⋮ Continuous selections of set-valued mappings and approximation in asymmetric and semilinear spaces ⋮ Density of the points of continuity of the metric function and projection in asymmetric spaces ⋮ Connectedness in asymmetric spaces ⋮ Existence, uniqueness, and stability of best and near-best approximations ⋮ Characterization of sets with continuous metric projection in the space \(\ell^\infty_n\) ⋮ Geometric structure of Chebyshev sets and suns in three-dimensional spaces with a cylindrical norm ⋮ Uniform convexity in nonsymmetric spaces ⋮ Approximatively compact sets in asymmetric Efimov-Stechkin spaces and convexity of almost suns ⋮ Solarity of sets in max-approximation problems ⋮ Monotone path-connectedness of Chebyshev sets in three-dimensional spaces ⋮ Ball-complete sets and solar properties of sets in asymmetric spaces
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