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mathematics (8) 8
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Izvestiya Mathematics, ISSN 1064-5632, 2016, Volume 80, Issue 2, pp. 165 - 184
We study properties of sets for which there is a continuous selection from the set of almost-best approximants. We establish relations between local and global... 
Moduli of approximative continuity | B-approximative infinite connectedness | ϵ-selection | Monotone path-connected sets | δ-solarity | B-infinite connectedness | MATHEMATICS | moduli of approximative continuity | monotone path-connected sets | APPROXIMATION | OPERATOR | BANACH-SPACES | delta-solarity | SETS | epsilon-selection | SPLINES
Journal Article
Izvestiya Mathematics, ISSN 1064-5632, 2018, Volume 82, Issue 4, pp. 837 - 859
We study conditions on sets in asymmetric spaces under which there are continuous epsilon-selections or continuous selections for the metric projection. In... 
asymmetric spaces | polyhedral spaces | metric projection | continuous ϵ-selection | MATHEMATICS | continuous epsilon-selection | SETS
Journal Article
Mathematical Notes, ISSN 0001-4346, 11/2018, Volume 104, Issue 5, pp. 727 - 734
We study sets admitting a continuous selection of near-best approximations and characterize those sets in Banach spaces for which there exists a continuous... 
continuous ε-selection | Mathematics, general | Mathematics | fixed point | MATHEMATICS | continuous epsilon-selection | SETS
Journal Article
Journal Article
Mathematical Notes, ISSN 0001-4346, 4/2011, Volume 89, Issue 3, pp. 572 - 576
Sets in which some convex subsets admit local (global) continuous ɛ-selections are studied. In particular, it is shown that if, for any number ɛ > 0, some... 
convex set | approximatively compact set | δ-sun | Mathematics, general | acyclic upper semicontinuous ε-selection | Mathematics | Banach space | MATHEMATICS | acyclic upper semicontinuous epsilon-selection | delta-sun
Journal Article
Mathematical Notes, ISSN 0001-4346, 1/2002, Volume 71, Issue 1, pp. 236 - 244
In this paper, it is shown that there are no uniformly continuous multiplicative $$\varepsilon $$ -selections from $$C[0;1]$$ on the set of generalized... 
Mathematics, general | Mathematics | Banach space | generalized rational approximation | uniformly continuous $$\varepsilon $$ -selection | Lipschitzian selection | Uniformly continuous ε-selection | Generalized rational approximation | MATHEMATICS | uniformly continuous epsilon-selection
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 1/1992, Volume 114, Issue 1, pp. 287 - 293
Journal Article
1997, LECTURE NOTES IN ECONOMICS AND MATHEMATICAL SYSTEMS, Volume 452, 14
Let M be a Hausdorff compact topological space, let C(M) be the Banach space of the continuous on M functions Supplied with the supremum norm and let V subset... 
Haar condition | worst case approximation | set-valued functions | Chebyshev approximation | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | continuous epsilon-selection
Book Chapter
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