Hyperconvex spaces revisited

DOI10.1017/S0004972700037588zbMath1043.54012OpenAlexW2015096890MaRDI QIDQ4458388

Marcin Borkowski, Hubert Przybycień, Dariusz Bugajewski

Publication date: 17 March 2004

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700037588

zbMATH Keywords

hyperconvex metric space

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Metric spaces, metrizability (54E35)

Related Items (5)

On some properties of hyperconvex spaces ⋮ On topological properties of metrics defined via generalized ``linking construction ⋮ On some fixed-point theorems for generalized contractions and their perturbations ⋮ KKM mappings in metric spaces ⋮ On fixed point theorems of Leray–Schauder type

Cites Work

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• Extension of uniformly continuous transformations and hyperconvex metric spaces
• A characterization of \(\mathcal P_1\) spaces
• KKM and Ky Fan theorems in hyperconvex metric spaces
• A fixed point theorem in hyperconvex spaces
• Nonexpansive retractions in hyperconvex spaces
• Hyperconvexity and approximate fixed points
• On nonlinear contraction semigroups in sup norm spaces
• Retractions on the fixed point set of semigroups of nonexpansive maps in hyperconvex spaces
• Existence of Fixed Points of Nonexpansive Mappings in Certain Banach Lattices
• Fixed point theorems in hyperconvex metric spaces
• Continuous mappings in compact hyperconvex metric spaces
• Hyperconvexity and Nonexpansive Multifunctions
• A Theorem of the Hahn-Banach Type for Linear Transformations
• Banach Spaces with the Extension Property

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