Relationships Between Farthest Point Problem and Best Approximation Problem
From MaRDI portal
Publication:3007937
DOI10.2478/v10157-010-0033-5zbMath1224.41106OpenAlexW1985649280MaRDI QIDQ3007937
Publication date: 17 June 2011
Published in: Annals of the Alexandru Ioan Cuza University - Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/v10157-010-0033-5
Normed linear spaces and Banach spaces; Banach lattices (46B99) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Inner product spaces and their generalizations, Hilbert spaces (46C99)
Related Items
Cites Work
- Convexity of Chebyshev sets
- Concave duality: Application to problems dealing with difference of functions
- Farthest points in weakly compact sets
- Duality in nonconvex optimization
- A duality principle for non-convex optimisation and the calculus of variations
- Antiproximinal norms in Banach spaces
- Duality for nonconvex approximation and optimization.
- Farthest points in reflexive locally uniformly rotund Banach spaces
- Farthest points of sets in uniformly convex Banach spaces
- Some results on nearest points and support properties of convex sets in \(c_ 0\)
- Closedness conditions for the optimality of a family of non-convex optimization problems
- Approximation properties of sets with bounded complements
- On a Sufficient Condition for Proximity
- Cebysev Sets in Hilbert Space
- A NOTE ON NEAREST POINTS
- On farthest points of sets
- Remotal sets revisited
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
