Best approximation on convex sets in a metric space

DOI10.1016/0021-9045(74)90062-8zbMath0284.41012OpenAlexW1994727353MaRDI QIDQ1845154

Swaran Trehan, G. C. Ahuja, Tulsi Dass Narang

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0021-9045(74)90062-8

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (10)

Best proximity points, cyclic Kannan maps and geodesic metric spaces ⋮ Best proximity point (pair) results via MNC in Busemann convex metric spaces ⋮ The minimizing vector theorem in symmetrized max-plus algebra ⋮ Markov-Kakutani's theorem for best proximity pairs in Hadamard spaces ⋮ Diametrically Relatively Nonexpansive Mappings and a Characterization of Proximal Normal Structure ⋮ Mappings of generalized condensing type in metric spaces with Busemann convex structure ⋮ Existence and uniqueness of best proximity points in geodesic metric spaces ⋮ A Survey on Best Proximity Point Theory in Reflexive and Busemann Convex Spaces ⋮ Condensing operators of integral type in Busemann reflexive convex spaces ⋮ On Chebyshev centers in metric spaces

Cites Work

• A topological view of ordered groups
• The Existence and Unicity of Best Approximations.
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