Characterizations of weakly compact sets and new fixed point free maps in c0

DOI10.4064/sm154-3-7zbMath1037.47039OpenAlexW2053031662MaRDI QIDQ4790229

Patrick N. Dowling, C. J. Lennard, Barry Turett

Publication date: 28 January 2003

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm154-3-7

zbMATH Keywords

weakly compact setsfixed point free mapsBanach space \(c_0\)

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Compactness in Banach (or normed) spaces (46B50)

Related Items (11)

Fixed point property for general topologies in some Banach spaces ⋮ A fixed-point characterization of weak compactness in Banach spaces with unconditional Schauder basis ⋮ Hölder-contractive mappings, nonlinear extension problem and fixed point free results ⋮ A fixed-point characterization of weakly compact sets in \(L_1(\mu)\) spaces ⋮ The fixed point property in \(c_0\) with an equivalent norm ⋮ Coordinatewise star-shaped sets in \(c_0\) ⋮ Weak compactness and fixed point property for affine bi-Lipschitz maps ⋮ The closed, convex hull of every ai \(c_{0}\)-summing basic sequence fails the FPP for affine nonexpansive mappings ⋮ New examples of subsets of \(c\) with the FPP and stability of the FPP in hyperconvex spaces ⋮ Weak compactness is equivalent to the fixed point property in $c_0$ ⋮ Weak compactness is not equivalent to the fixed point property in \(c\)

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