On the fixed point set of nonexpansive order preserving maps

DOI10.1007/BF02570732zbMath0662.47030OpenAlexW1991057991MaRDI QIDQ1113442

Michael Lin, Robert Sine

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174123

zbMATH Keywords

fixed pointnonexpansive mapnonexpansive order preserving mapnonexpansive order preserving retractionsequence of Cesàro averages

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (8)

Retractions on the fixed point set of semigroups of nonexpansive maps in hyperconvex spaces ⋮ Hyperconvexity and approximate fixed points ⋮ Hyperconvexity and Nonexpansive Multifunctions ⋮ Metric fixed point theory on hyperconvex spaces: recent progress ⋮ Hopf's ergodic theorem for nonlinear operators ⋮ Nonexpansive retractions in hyperconvex spaces ⋮ Fixed point and selection theorems in hyperconvex spaces ⋮ A limit theorem for order preserving nonexpansive operators in \(L_ 1\)

Cites Work

• Unnamed Item
• Nonlinear models of diffusion on a finite space
• Asymptotic behavior of nonexpansive mappings
• On nonlinear contraction semigroups in sup norm spaces
• Some Relations Between Nonexpansive and Order Preserving Mappings
• A Fixed Point Free Nonexpansive Map
• Existence of Fixed Points of Nonexpansive Mappings in Certain Banach Lattices

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