ON ALMOST WELL-POSED MUTUALLY NEAREST AND MUTUALLY FURTHEST POINT PROBLEMS

DOI10.1081/NFA-120006696zbMath1006.41024OpenAlexW2111362082MaRDI QIDQ3148353

Hong-Kun Xu, Chong Li

Publication date: 17 March 2003

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/nfa-120006696

zbMATH Keywords

minimization problemminimizing sequencemaximization problemwell-posedstrongly convex spaceKadec spacemaximizing sequences

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Baire category, Baire spaces (54E52) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (5)

Porosity of Mutually Nearest and Mutually Furthest Points Problems in Geodesic Space ⋮ Derivatives of generalized farthest functions and existence of generalized farthest points ⋮ On weak well-posedness of the nearest point and mutually nearest point problems in Banach spaces ⋮ Nearest and farthest points in spaces of curvature bounded below ⋮ Characterizations and Uniqueness of Mutually Nearest Points for Two Sets in Normed Spaces

Cites Work

• Unnamed Item
• The strong Ekeland variational principle, the strong drop theorem and applications
• Starshaped sets and best approximation
• On mutually nearest and mutually furthest points of sets in Banach spaces
• On a generalized best approximation problem
• Almost Chebyshev set with respect to bounded subsets
• On well posed generalized best approximation problems
• On mutually nearest and mutually farthest points in reflexive Banach spaces
• Farthest points in reflexive locally uniformly rotund Banach spaces
• Existence Of Nearest Points In Banach Spaces
• Convex Optimization and the Epi-Distance Topology
• On farthest points of sets

This page was built for publication: ON ALMOST WELL-POSED MUTUALLY NEAREST AND MUTUALLY FURTHEST POINT PROBLEMS