Komlós’ theorem and the fixed point property for affine mappings

DOI10.1090/proc/14201OpenAlexW2962928438MaRDI QIDQ4691353

Japón Pineda, Maria A., Domínguez Benavides, Tomás

Publication date: 23 October 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.03333

zbMATH Keywords

fixed pointconvergence in measureequivalent normsmeasurable function spaces\(\mu\)-a.e. convergenceaffine Lipschitzian mappings

Mathematics Subject Classification ID

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

Related Items

The nonexpansive and mean nonexpansive fixed point properties are equivalent for affine mappings ⋮ A fixed-point characterization of weakly compact sets in \(L_1(\mu)\) spaces ⋮ Existence of fixed points in a class of convex sets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convex Komlós sets in Banach function spaces
• Notes on non-commutative integration
• The fixed point property for subsets of some classical Banach spaces
• Measures of noncompactness in metric fixed point theory
• Non-commutative subsequence principles
• Some fixed point results on \(L\)-embedded Banach spaces
• \(L\)-embedded Banach spaces and measure topology
• Irregular convex sets with fixed-point property for nonexpansive mappings
• A Fixed Point Free Nonexpansive Map
• Weak compactness is equivalent to the fixed point property in $c_0$
• New fixed point free nonexpansive maps on weakly compact, convex subsets of L¹[0,1]
• A generalization of a problem of Steinhaus
• The \(\tau\)-fixed point property for nonexpansive mappings
• Fixed-point theorems for asymptotically regular mappings in Orlicz function spaces