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Fixed-point property of random groups

Annals of Global Analysis and Geometry, 2008
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Izeki, Hiroyasu   +2 more
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Fixed points of products and the strong fixed point property

Order, 1987
The paper is motivated by the well known open problem: If ordered sets X and Y both have the fixed point property (fpp), will their product XY also have the fixed point property? The authors introduce what they call the strong fixed point property: An ordered set X has the strong fixed point property if there is an order preserving map \(\Phi\) of \(X^
Duffus, Dwight, Sauer, Norbert
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FIXED-POINT PROPERTIES OF PRODUCT SPACES

Russian Mathematical Surveys, 1976
Abstract : A self-map F:Y1 x Y2 maps to Y1 x Y2 of a product space induces selfmaps F1:Y1 maps to Y1, F2:Y2 maps to Y2 of the axes. If Y2 is a projective space (or cohomologically similar) then the algebraic number of fixed points is shown to satisfy L(F) = L(F1) . L((F sup m)2) for some m, where F sup m = F o F o ... o F. The proof is algebraic.
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Sets with structure, mappings and fixed point property: fixed point structures

Fixed Point Theory, 2022
Summary: In the book [\textit{I. A. Rus}, Fixed point structure theory. Cluj-Napoca: Cluj University Press (2006; Zbl 1110.47047)] we studied fixed point structures on a set with structure. In this paper, we introduce the notion of the set-mapping pair \((\mathcal{U}, M)\) (i.e., \(\mathcal{U} :=\) a class of sets with the same type structure and for \(
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An approximate fixed point property

Topology and its Applications
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Lee, M., Morales, C. A., Park, J.
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Multiple fixed point properties

1994
Abstract In this chapter we unify various “double” fixed point properties, and other multiple fixed point properties that arise in recursion theory, combinatory logic, and metamathematics.
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Fixed-Point Properties of Roughly Contractive Mappings

Zeitschrift für Analysis und ihre Anwendungen, 2003
For given k \in (0,1) and r > 0 , a self-mapping T: \, M \to M is said to be r -roughly k
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Strong fixed point properties

1994
Abstract In this chapter we deal with the recursion property, the Myhill property, and some related “strong” fixed point properties.
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A tree‐network has the fixed point property

Networks, 1989
AbstractWe prove that any continuous mapping from a network into itself has a fixed point if and only if the network is a tree‐network.
Labbé, Martine, Thisse, Jacques
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The Elusive Fixed Point Property

The American Mathematical Monthly, 1969
(1969). The Elusive Fixed Point Property. The American Mathematical Monthly: Vol. 76, No. 2, pp. 119-132.
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