Continuous \(\epsilon\)-selection and monotone path-connected sets
From MaRDI portal
Publication:2401670
DOI10.1134/S0001434617050315zbMath1376.41028MaRDI QIDQ2401670
Publication date: 4 September 2017
Published in: Mathematical Notes (Search for Journal in Brave)
Selections in general topology (54C65) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)
Related Items (7)
Solarity and connectedness of sets in the space and in finite-dimensional polyhedral spaces ⋮ Continuous selections for metric projection operators and for their generalizations ⋮ Solarity and proximinality in generalized rational approximation in spaces \(C(Q)\) and \(L^p\) ⋮ Existence, uniqueness, and stability of best and near-best approximations ⋮ Approximative properties of sets and continuous selections ⋮ Properties of monotone connected sets ⋮ Local approximation properties of sets and continuous selections on them
Cites Work
- Unnamed Item
- Connectedness and other geometric properties of suns and Chebyshev sets
- Separation of convex sets by extreme hyperplanes
- Relations between certain classes of sets in Banach spaces
- Properties of sets admitting stable \(\varepsilon \)-selections
- Continuous selections. I
- Properties of sets that have a continuous selection of the operator \(P^{\delta}\)
- Suns in normed linear spaces which are finite dimensional
- Uniform continuity of generalized rational approximations
- Continuity of operators of generalized rational approximation in the space \(L_1[0;1\)]
- Continuous ε-selection
- Connectedness and solarity in problems of best and near-best approximation
- Local and global continuous $ \varepsilon$-selection
- Monotone path-connectedness and solarity of Menger-connected sets in Banach spaces
- Monotone path-connectedness of Chebyshev sets in the space $ C(Q)$
- Stability of the operator of $ \varepsilon$-projection to the set of splines in $ C \lbrack 0,1 \rbrack $
This page was built for publication: Continuous \(\epsilon\)-selection and monotone path-connected sets
