A characterization of the minimal invariant sets of Alspach's mapping

DOI10.1016/J.NA.2010.03.015zbMath1195.46028OpenAlexW2022926610MaRDI QIDQ975259

Chris Lennard, Jerry B. Day

Publication date: 9 June 2010

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/j.na.2010.03.015

zbMATH Keywords

nonexpansive mappingstrongly mixingminimal invariant setsfixed point freeweakly compact convex setAlspach's mappingBaker's transform

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (1)

A contractive fixed point free mapping on a weakly compact convex set

Cites Work

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• More on minimal invariant sets for nonexpansive mappings.
• On Commuting Families of Nonexpansive Operators
• A Fixed Point Free Nonexpansive Map
• New fixed point free nonexpansive maps on weakly compact, convex subsets of L¹[0,1]
• A Fixed Point Theorem for Mappings which do not Increase Distances

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