Continuous selections in asymmetric spaces

DOI10.1070/SM8855zbMath1437.54017OpenAlexW2888874694MaRDI QIDQ4576892

I. G. Tsar'kov

Publication date: 11 July 2018

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

Full work available at URL: https://doi.org/10.1070/sm8855

zbMATH Keywords

fixed pointHausdorff metricbest approximationcontinuous selectionmetric projectionasymmetric normed spacequasi-metric spaceapproximative compactnesssemilinear spaceasymmetric spacesgeneralized rational function

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Selections in general topology (54C65) Fixed-point and coincidence theorems (topological aspects) (54H25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Connected and locally connected spaces (general aspects) (54D05) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Related Items (12)

Uniformly and locally convex asymmetric spaces ⋮ Continuity of a metric function and projection in asymmetric spaces ⋮ 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 ⋮ Approximative properties of sets and continuous selections ⋮ MULTIVALUED FIXED POINT IN BANACH ALGEBRA USING CONTINUOUS SELECTION AND ITS APPLICATION TO DIFFERENTIAL INCLUSION ⋮ Uniform convexity in nonsymmetric spaces ⋮ Weakly monotone sets and continuous selection in asymmetric spaces

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