Approximative compactness and continuity of metric projections

DOI10.1017/S0004972700043628zbMath0281.41006MaRDI QIDQ4767720

B. B. Panda, O. P. Kapoor

Publication date: 1974

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (8)

Some results on fixed and best proximity points of multivalued cyclic self-mappings with a partial order ⋮ Weakly compactly LUR Banach spaces ⋮ On properties of sets related to f-projections ⋮ Fréchet differentiability of the distance function and the structure of sets ⋮ A generalization of local uniform convexity of the norm ⋮ The Bregman distance, approximate compactness and convexity of Chebyshev sets in Banach spaces ⋮ Unnamed Item ⋮ Strong Proximinality in Metric Spaces

Cites Work

• Some geometric properties of the spheres in a normed linear space
• Convexity of Chebyshev sets
• A course on optimization and best approximation
• On Nearest Points of Sets in Uniformly Convex Banach Spaces

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