On set-valued f-projections and f-farthest point mappings

DOI10.1016/0021-9045(84)90050-9zbMath0561.41026OpenAlexW1980847864MaRDI QIDQ2266400

P. Govindarajulu, Devidas Pai

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-9045(84)90050-9

zbMATH Keywords

f-projectionf-farthest point mappinglower semi-continuous quasi-convex function

Mathematics Subject Classification ID

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

Related Items

New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ A comparative study of various notions of approximation of sets ⋮ The width in locally convex space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convexity of Chebyshev sets
• On f-farthest points of sets
• On solar properties of sets and radial continuity of set-valued f- projections
• On properties of sets related to f-projections
• Convex analysis and measurable multifunctions
• Farthest points of sets in uniformly convex Banach spaces
• Sets with unique farthest points
• Stability theorems for cones and wedges of continuous functions
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
• On farthest points of sets