On mutually nearest and mutually furthest points of sets in Banach spaces

DOI10.1016/0021-9045(92)90082-YzbMath0764.41032OpenAlexW2023422229MaRDI QIDQ1198149

Pier Luigi Papini, Józef Myjak, Francesco S. de Blasi

Publication date: 16 January 1993

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(92)90082-y

zbMATH Keywords

minimization problemfarthest pointsnearest pointsmaximization problem

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (14)

Porosity of Mutually Nearest and Mutually Furthest Points Problems in Geodesic Space ⋮ Ambiguous loci of mutually nearest and mutually furthest points in Banach spaces ⋮ On well-posed mutually nearest and mutually furthest point problems in Banach spaces ⋮ Almost Chebyshev set with respect to bounded subsets ⋮ Porosity of mutually nearest and mutually furthest points in Banach spaces. ⋮ On mutually nearest and mutually farthest points in reflexive Banach spaces ⋮ Mutually nearest and farthest points of sets and the drop theorem in geodesic spaces ⋮ Generic existence of solutions for some perturbed optimization problems ⋮ On weak well-posedness of the nearest point and mutually nearest point problems in Banach spaces ⋮ Nearest and farthest points in spaces of curvature bounded below ⋮ On generic well-posedness of restricted Chebyshev center problems in Banach spaces ⋮ Characterizations and Uniqueness of Mutually Nearest Points for Two Sets in Normed Spaces ⋮ ON ALMOST WELL-POSED MUTUALLY NEAREST AND MUTUALLY FURTHEST POINT PROBLEMS ⋮ On well posedness of best simultaneous approximation problems in Banach spaces.

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