Weakly proximinal sets
From MaRDI portal
Publication:1234440
DOI10.1016/0021-9045(76)90115-5zbMath0348.41022OpenAlexW2049444599MaRDI QIDQ1234440
Publication date: 1976
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9045(76)90115-5
Normed linear spaces and Banach spaces; Banach lattices (46B99) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)
Related Items
Hadamard semidifferential, oriented distance function, and some applications, Antiproximinal convex bounded sets in the space \(c_{0}(\gamma )\) equipped with the Day norm, On minimal subspaces in tensor representations, On antiproximal closed radially bounded convex sets in the \(l_{1}\)-space, Approximation and norm derivatives in real normed spaces, On mutually nearest and mutually farthest points in reflexive Banach spaces, Generic existence of solutions for some perturbed optimization problems, On mutually nearest and mutually furthest points of sets in Banach spaces, On a well-posed minimax problem, A distance function property implying differentiability, On almost Chebyshev subspaces, Metric projections and the differentiability of distance functions, Best approximation by closed sets in Banach spaces, On convex closed bounded bodies without farthest points such that the closure of their complement is antiproximinal, On well posed generalized best approximation problems, The \(n\)-antiproximinal sets
Cites Work
- Unnamed Item
- Unnamed Item
- Reflexivity and the supremum of linear functionals
- Common supports for pairs of sets
- On strongly exposed points and Frechet differentiability
- Dentability and extreme points in Banach spaces
- Farthest points in reflexive locally uniformly rotund Banach spaces
- Fréchet differentiability of convex functions
- Some results on nearest points and support properties of convex sets in \(c_ 0\)
- A NOTE ON NEAREST POINTS
