On some properties of hyperconvex spaces

DOI10.1155/2010/213812zbMath1213.54037OpenAlexW2075128467WikidataQ59254837 ScholiaQ59254837MaRDI QIDQ2381034

Dariusz Bugajewski, Marcin Borkowski, Dev Phulara

Publication date: 13 April 2010

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223349

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Fixed-point and coincidence theorems (topological aspects) (54H25) Radon-Nikodým, Kre?n-Milman and related properties (46B22) General convexity (52A99) Topological linear spaces and related structures (46A99)

Related Items (5)

Convexity structures in \(T_{0}\)-quasi-metric spaces ⋮ Metric fixed point theory on hyperconvex spaces: recent progress ⋮ On topological properties of metrics defined via generalized ``linking construction ⋮ On Urysohn's \(\mathbb{R}\)-tree ⋮ A note on geodesically bounded \(\mathbb R\)-trees

Cites Work

• Extension of uniformly continuous transformations and hyperconvex metric spaces
• Fixed point theorems in \(\mathbb R\)-trees with applications to graph theory
• A fixed point theorem in hyperconvex spaces
• Lipschitz quotients from metric trees and from Banach spaces containing \(\ell _{1}\)
• Six theorems about injective metric spaces
• Hyperconvexity and approximate fixed points
• Hyperconvex spaces revisited
• A Theorem of the Hahn-Banach Type for Linear Transformations
• Banach Spaces with the Extension Property
• On extreme points of regular convex sets
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