Boundedly connected sets and the distance to the intersection of two sets

DOI10.1016/j.jmaa.2006.10.037zbMath1121.46020OpenAlexW1968869501WikidataQ57836373 ScholiaQ57836373MaRDI QIDQ882021

Antonio Martinón, Juan-Enrique Martinez-Legaz

Publication date: 23 May 2007

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.2006.10.037

zbMATH Keywords

metric spacesnormed spacesboundedly connected setsdistance to the intersection

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Metric spaces, metrizability (54E35) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items

Characterizations of reflexivity and compactness via the strong Ekeland variational principle, On the infimum of a quasiconvex vector function over an intersection

Cites Work

• Monotonic solutions of a quadratic integral equation of Volterra type
• Downward sets and their separation and approximation properties
• A note on the intersection of Banach subspaces
• Distance to the intersection of two sets
• The Distance to the Intersection of Two Convex Sets Expressed by the Distances to Each of Them
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
• An Introduction to Banach Space Theory
• Distance to the intersection of normal sets and applications
• Continuity of Metric Projections
• Best approximation by normal and conormal sets
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