Lambda-hyperconvexity in metric spaces

DOI10.1016/S0362-546X(99)00171-6zbMath0969.47036OpenAlexW2014467334MaRDI QIDQ1588339

R. Smith

Publication date: 23 September 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00171-6

zbMATH Keywords

fixed pointuniformly convex Banach spacehyperconvex metric spacenon-expansive map

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (5)

Helly-gap of a graph and vertex eccentricities ⋮ Metric fixed point theory on hyperconvex spaces: recent progress ⋮ Geometry of Data ⋮ \(q^\lambda \)-hyperconvexity in quasi-metric spaces ⋮ Hyperbolic spaces and directional contractions

Cites Work

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• Extension of uniformly continuous transformations and hyperconvex metric spaces
• On some covering and intersection properties in Minkowski spaces
• Some applications of expansion constants
• Asymptotic centers and nonexpansive mappings in conjugate Banach spaces
• On the fixed points of commuting nonexpansive maps in hyperconvex spaces
• The support property of a convex set in a linear normed space
• Projection Constants
• Hyperconvexity and approximate fixed points
• On Metric Spaces with Uniform Normal Structure
• On nonlinear contraction semigroups in sup norm spaces
• A Fixed Point Free Nonexpansive Map
• 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

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