Properties of sets admitting stable \(\varepsilon \)-selections

DOI10.1134/S0001434611030291zbMath1245.49024MaRDI QIDQ650465

I. G. Tsar'kov

Publication date: 25 November 2011

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

zbMATH Keywords

Banach spaceconvex set\(\delta \)-sunacyclic upper semicontinuous \(\epsilon \)-selectionapproximatively compact set

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (13)

Connectedness and other geometric properties of suns and Chebyshev sets ⋮ Continuous \(\epsilon\)-selection and monotone path-connected sets ⋮ Some classical problems of geometric approximation theory in asymmetric spaces ⋮ 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 ⋮ 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

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