Suns, moons, and quasi-polyhedra
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Publication:2553019
DOI10.1016/0021-9045(72)90073-1zbMath0238.41014OpenAlexW2021831979MaRDI QIDQ2553019
Publication date: 1972
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9045(72)90073-1
Related Items (max. 100)
A monotone path-connected set with outer radially lower continuous metric projection is a strict sun ⋮ Characterisations of Chebyshev sets in \(c_{0}\) ⋮ Connectedness and other geometric properties of suns and Chebyshev sets ⋮ Suns, moons, and \(\mathring{B}\)-complete sets in asymmetric spaces ⋮ Strong ball proximinality and continuity of metric projection in \(L_1\)-predual spaces ⋮ Unnamed Item ⋮ Continuity of the metric projection and local solar properties of sets. Continuity of the metric projection and local solar properties of sets, continuity of the metric projection and solar properties ⋮ Selections of the metric projection operator and strict solarity of sets with continuous metric projection ⋮ Polyhedral points, QP-points and Q-points ⋮ Strict protosuns in asymmetric spaces of continuous functions ⋮ Some new continuity concepts for metric projections ⋮ Best approximation in polyhedral Banach spaces ⋮ Continuity of the metric projection, structural and approximate properties of sets ⋮ Characterization and uniqueness of nonlinear uniform approximation ⋮ Support cones and convexity of sets in ℝⁿ ⋮ Strong proximinality and intersection properties of balls in Banach spaces ⋮ On some geometric properties of suns ⋮ A decomposition relative to suns ⋮ On fixed point theorems obtained from existence theorems for differential equations ⋮ Asymptotic behavior of semigroups on nonlinear contractions in Banach spaces ⋮ Approximate selections, best approximations, fixed points, and invariant sets ⋮ CHEBYSHEV SETS ⋮ Minimal extremal subsets of the unit sphere ⋮ Some properties of the peak-set-mapping ⋮ Chebychev sets which are not suns ⋮ Radial continuity of set-valued metric projections ⋮ Geometrical characterizations for nonlinear uniform approximation ⋮ Die Metrische Struktur der Sonnen in \(l_{\infty}(n)\) ⋮ Polyhedral norms in an infinite dimensional space ⋮ Continuity of metric projections onto subspaces and openness of quotient maps on unit balls
Cites Work
- Some characterizations of convex polyhedra
- Convex polytopes in linear spaces
- Continuity of the set-valued metric projection
- Minimal extremal subsets of the unit sphere
- Best n -Dimensional Approximation to Sets of Functions
- Applications of the Hahn-Banach Theorem in Approximation Theory
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