Derivatives of generalized farthest functions and existence of generalized farthest points

DOI10.1016/j.jmaa.2005.05.005zbMath1102.46011OpenAlexW2018827715MaRDI QIDQ819741

Ren-Xing Ni

Publication date: 29 March 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.05.005

zbMATH Keywords

best approximationgeneralized farthest functiongeneralized farthest point

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items

Categorical properties of solvability for one class of minimization problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convex functions, monotone operators and differentiability.
• The nearest point mapping is single valued nearly everywhere
• Geometry of Banach spaces. Selected topics
• On a generalized best approximation problem
• Porosity of mutually nearest and mutually furthest points in Banach spaces.
• On well posed generalized best approximation problems
• Derivatives of generalized distance functions and existence of generalized nearest points
• 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
• On mutually nearest and mutually farthest points in reflexive Banach spaces
• ON ALMOST WELL-POSED MUTUALLY NEAREST AND MUTUALLY FURTHEST POINT PROBLEMS
• Nearest points to closed sets and directional derivatives of distance functions
• Metric projections and the differentiability of distance functions
• Porous Sets in Best Approximation Theory