Results 11 to 20 of about 2,017,440 (319)
The τ-fixed point property for nonexpansive mappings [PDF]
Abstract and Applied Analysis, 1998 Let X be a Banach space and τ a topology on X. We say that X has the τ-fixed point property (τ-FPP) if every nonexpansive mapping T defined from a bounded convex τ-sequentially compact subset C of X into C has a fixed point.
Tomás Domínguez Benavides +2 more
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, 2022 We investigate fixed point properties for isometric actions of topological groups on a wide class of metric spaces, with a particular emphasis on Hilbert spaces. Instead of requiring the action to be continuous, we assume that it is ``controlled", i.e. compatible with respect to some natural left-invariant coarse structure.
Tessera, Romain, Winkel, Jeroen
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Infinite groups with fixed point properties [PDF]
Geometry & Topology, 2009 We construct finitely generated groups with strong fixed point properties. Let $\mathcal{X}_{ac}$ be the class of Hausdorff spaces of finite covering dimension which are mod-$p$ acyclic for at least one prime $p$. We produce the first examples of infinite finitely generated groups $Q$ with the property that for any action of $Q$ on any $X\in \mathcal{X}
Arzhantseva, Goulnara +5 more
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“Lion–Man” and the fixed point property [PDF]
Geometriae Dedicata, 2018 final version available in Geometriae Dedicata, https://doi.org/10.1007/s10711-018-0403 ...
López-Acedo, Genaro +2 more
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Sectional category and the fixed point property [PDF]
Topological Methods in Nonlinear Analysis, 2020 For a Hausdorff space $X$, we exhibit an unexpected connection between the sectional number of the Fadell-Neuwirth fibration $ _{2,1}^X:F(X,2)\to X$, and the fixed point property (FPP) for self-maps on $X$. Explicitly, we demonstrate that a space $X$ has the FPP if and only if 2 is the minimal cardinality of open covers $\{U_i\}$ of $X$ such that each
Cesar A. Ipanaque Zapata +1 more
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Properties of Fixed Point Spaces [PDF]
Proceedings of the American Mathematical Society, 1959 In this note relations between the fixed point property and compactness are studied and it is shown that the fixed point property need not be preserved under the cross product. Most known theorems concerning the fixed point property (written as the "f.p.p.") are for compact spaces. It is to be shown that, in the general case, compactness and the f.p.p.
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On the δ-continuous fixed point property
International Journal of Mathematics and Mathematical Sciences, 1990 In this paper, we define and investigate the δ-continuous retraction and the δ-continuous fixed point property. Theorem 1 of Connell [11] and Theorem 3.4 of Arya and Deb [2] are improved.
F. Cammaroto, T. Noiri
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The Fixed Point Property for Intuitionistic Fuzzy Lattices
Fuzzy Information and Engineering, 2017 In this paper, based on the concept of intuitionistic fuzzy lattice previously introduced by Tripathy and his colleagues, a class of intuitionistic fuzzy complete lattices is proposed with some interesting characterizations given.
Lemnaouar Zedam, Soheyb Milles, Ewa Rak
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The Fixed Point Property of Non-Retractable Topological Spaces
Mathematics, 2019 Unlike the study of the fixed point property (FPP, for brevity) of retractable topological spaces, the research of the FPP of non-retractable topological spaces remains. The present paper deals with the issue.
Jeong Min Kang, Sang-Eon Han, Sik Lee
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On local fixed or periodic point properties [PDF]
, 2013 A space X has the local fixed point property LFPP, (local periodic point property LPPP) if it has an open basis $\mathcal{B}$ such that, for each $B\in \mathcal{B}$, the closure $\overline{B}$ has the fixed (periodic) point property.
Alejandro Illanes, L Krupski, Pawe
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