Best proximity and remotest points results for weakly strongly lowear mapping and weakly strongly upper mapping

DOI10.1007/S41478-023-00580-9OpenAlexW4376504373MaRDI QIDQ6118966

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Publication date: 21 March 2024

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-023-00580-9

zbMATH Keywords

best proximity pointsremotest pointsweakly strongly lower mappingweakly strongly upper mapping

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Uniqueness of best approximation (41A52)

Cites Work

• Remotest points and approximate remotest points in metric spaces
• Porosity results for two-set nearest and farthest point problems
• A remark on the farthest point problem
• Farthest points of sets in uniformly convex Banach spaces
• Farthest points in W*-compact sets
• Proximinal Retracts and Best Proximity Pair Theorems
• SOME NEW RESULTS ON REMOTEST POINTS IN NORMED SPACES
• Remotal sets revisited
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