Results 11 to 20 of about 5,351 (245)
The fixed point property and a technique to harness double fixed point combinators [PDF]
Journal of Logic and Computation, 2019 International audienceThe λ-calculus enjoys the property that each λ-term has at least one fixed point, which is due to the existence of a fixed point combinator.
Manzonetto, Giulio +3 more
core +5 more sources
The fixed-point property for represented spaces [PDF]
Annals of Pure and Applied Logic, 2022 International audienceWe investigate which represented spaces enjoy the fixed-point property, which is the property that every continuous multi-valued function has a fixed-point. We study the basic theory of this notion and of its uniform version.
Hoyrup, Mathieu
core +4 more sources
Homotopies and the Universal Fixed Point Property [PDF]
Order, 2015 A topological space has the fixed point property if every continuous self-map of that space has at least one fixed point. We demonstrate that there are serious restraints imposed by the requirement that there be a choice of fixed points that is ...
Szymik, Markus
core +5 more sources
Algorithms for the fixed point property
Theoretical Computer Science, 1999 This survey exhibits various algorithms to decide the question if a given ordered set P has the fixed point property resp. if P has a fixed point free order-preserving self-map.
Schröder, Bernd S.W.
core +2 more sources
Infinite groups with fixed point properties [PDF]
Geometry & Topology, 2007 We construct finitely generated groups with strong fixed point properties. Let Xac be the class of Hausdorff spaces of finite covering dimension which are mod–p acyclic for at least one prime p.
G. Arzhantseva +23 more
core +8 more sources
Neocompact Sets and the Fixed Point Property
Journal of Mathematical Analysis and Applications, 2002 We use a newly introduced concept of neocompactness to study problems from metric fixed point theory. In particular, we give a sufficient condition for a superreflexive Banach space X to have the fixed point property and obtain shorter proofs of some ...
Wiśnicki, Andrzej
core +2 more sources
A remark on the approximate fixed-point property [PDF]
Abstract and Applied Analysis, 2003 We give an example of an unbounded, convex, and closed set C in the Hilbert space l2 with the following two properties: (i) C has the approximate fixed‐point property for nonexpansive mappings, (ii) C is not contained in a block for every orthogonal basis in l2.
Tadeusz Kuczumow
doaj +4 more sources
“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
openaire +3 more sources
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 $π_{2,1}^X:F(X,2)\to X$, 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
openaire +4 more sources
Fixed point structures on a set-mapping pair and cartesian product
Annals of the West University of Timisoara: Mathematics and Computer Science, 2022 In this paper we study the following problem (Problem 4.2 in, I.A. Rus, Sets with structure, mappings and fixed point property: fixed point structures, Fixed Point Theory 23, No. 2 (2022), 689-706):
Rus Ioan A., Şerban Marcel-Adrian
doaj +1 more source