Properties of sets that have a continuous selection of the operator \(P^{\delta}\)

DOI10.1007/BF01139608zbMath0729.46011OpenAlexW2059146472MaRDI QIDQ805992

I. G. Tsar'kov

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01139608

zbMATH Keywords

continuous selectionapproximate compactness

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (13)

Connectedness and other geometric properties of suns and Chebyshev sets ⋮ Continuous \(\epsilon\)-selection and monotone path-connected sets ⋮ Continuous selections in asymmetric spaces ⋮ Continuous selection from the sets of best and near-best approximation ⋮ Continuous selections for metric projection operators and for their generalizations ⋮ Continuous selection for set-valued mappings ⋮ Weakly monotone sets and continuous selection from a near-best approximation operator ⋮ Existence, uniqueness, and stability of best and near-best approximations ⋮ Some applications of geometric theory of approximations ⋮ Approximative properties of sets and continuous selections ⋮ New criteria for the existence of a continuous \(\epsilon\)-selection ⋮ Local approximation properties of sets and continuous selections on them ⋮ Weakly monotone sets and continuous selection in asymmetric spaces

Cites Work

• Continuous selections. I
• Some theorems on Chebyshev sets
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
• Fixed Point Theorems for Multi-Valued Transformations
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