Approximative properties of sets and continuous selections
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Publication:5135761
DOI10.1070/SM9319zbMath1455.54019OpenAlexW3024582958MaRDI QIDQ5135761
Publication date: 23 November 2020
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm9319
set-valued mappingcontinuous selectionsunmonotone path-connected setrelative Chebyshev centre and point
Set-valued maps in general topology (54C60) Selections in general topology (54C65) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Simultaneous approximation (41A28) Linear operators and ill-posed problems, regularization (47A52)
Related Items (20)
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 ⋮ Solarity and connectedness of sets in the space and in finite-dimensional polyhedral spaces ⋮ Smoothness of subspace sections of the unit balls of \(C(Q)\) and \(L^1\) ⋮ Some classical problems of geometric approximation theory in asymmetric spaces ⋮ Monotone path-connectedness of strict suns ⋮ 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 ⋮ Universality theorems for asymmetric spaces ⋮ Existence, uniqueness, and stability of best and near-best approximations ⋮ Properties of monotone connected sets ⋮ Uniform convexity in nonsymmetric spaces ⋮ Properties of monotone path-connected sets ⋮ 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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