Fixed Points of Nonexpansive Mappings in Banach Lattices

DOI10.2307/2046741zbMath0677.47032OpenAlexW4255277054MaRDI QIDQ3833102

Mohamed Amine Khamsi, Philippe Turpin

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2046741

zbMATH Keywords

unconditional basistopology of coordinatewise convergencecompactness with respect to special topologiesfixed-point property for nonexpansive mapsweakly compact convex subsets of Banach lattices

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Banach lattices (46B42) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (7)

Strong asymptotic normal structure and fixed points in product spaces ⋮ The nonexpansive and mean nonexpansive fixed point properties are equivalent for affine mappings ⋮ Fixed points of nonexpansive mappings ⋮ Fixed point property in Banach lattices with Banach-Saks property ⋮ A fixed-point characterization of weakly compact sets in \(L_1(\mu)\) spaces ⋮ Second dual projection characterizations of three classes of \(L_0\)-closed, convex, bounded sets in \(L_1\) ⋮ Second dual projection characterizations of three classes of \(L^0\)-closed, convex, bounded sets in \(L^1\): non-commutative generalizations

Cites Work

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• Unconditional bases and fixed points of nonexpansive mappings
• Asymptotic centers and nonexpansive mappings in conjugate Banach spaces
• Existence of fixed points of nonexpansive mappings in a space without normal structure
• Remarks on the fixed point problem for nonexpansive maps
• Nonexpansive maps in generalized Orlicz spaces
• A Fixed Point Free Nonexpansive Map
• Fixed point theory for nonexpansive mappings. II
• A Fixed Point Theorem for Mappings which do not Increase Distances

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