On weak well-posedness of the nearest point and mutually nearest point problems in Banach spaces
DOI10.1007/s10114-021-0121-3zbMath1484.46021OpenAlexW3196910865MaRDI QIDQ2230571
Jing Zhou, Yu Zhou, Chun Yan Liu, Zi Hou Zhang
Publication date: 24 September 2021
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-021-0121-3
strict convexityweak well-posednessnearest point problemdense \(G_\delta\)-subsetmutually nearest point problemrelatively boundedly weakly compact set
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)
Cites Work
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- Some examples concerning proximinality in Banach spaces
- Small sets in best approximation theory
- Convexities and approximative compactness and continuity of metric projection in Banach spaces
- On mutually nearest and mutually furthest points of sets in Banach spaces
- On a generalized best approximation problem
- Porosity of mutually nearest and mutually furthest points in Banach spaces.
- On well posed generalized best approximation problems
- On mutually nearest and mutually farthest points in reflexive Banach spaces
- NEAREST POINTS AND DELTA CONVEX FUNCTIONS IN BANACH SPACES
- ON ALMOST WELL-POSED MUTUALLY NEAREST AND MUTUALLY FURTHEST POINT PROBLEMS
- Existence Of Nearest Points In Banach Spaces
- Porous Sets in Best Approximation Theory
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