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Fixed point property of amenable planar vortexes

open access: yesApplied General Topology, 2021
This article introduces free group representations of planar vortexes in a CW space that are a natural outcome of results for amenable groups and fixed points found by M.M.
James Francis Peters, Tane Vergili
doaj   +7 more sources

The Fixed Point Property of the Infinite M-Sphere [PDF]

open access: goldMathematics, 2020
The present paper is concerned with the Alexandroff one point compactification of the Marcus-Wyse (M-, for brevity) topological space ( Z 2 , γ ) . This compactification is called the infinite M-topological sphere and denoted by ( ( Z
Sang-Eon Han, Selma Özçağ
doaj   +2 more sources

Three Boundary Conditions for Computing the Fixed-Point Property in Binary Mixture Data. [PDF]

open access: yesPLoS ONE, 2016
The notion of "mixtures" has become pervasive in behavioral and cognitive sciences, due to the success of dual-process theories of cognition. However, providing support for such dual-process theories is not trivial, as it crucially requires properties in
Leendert van Maanen   +2 more
doaj   +2 more sources

The Szlenk Index and the Fixed Point Property under Renorming [PDF]

open access: goldFixed Point Theory and Applications, 2010
Assume that X is a Banach space such that its Szlenk index Sz(X) is less than or equal to the first infinite ordinal ω. We prove that X can be renormed in such a way that X with the resultant norm satisfies R(X)<2, where R(⋅) is the ...
T. Dom&#237;nguez Benavides
doaj   +3 more sources

The Fixed Point Property of a Banach Algebra Generated by an Element with Infinite Spectrum [PDF]

open access: goldJournal of Function Spaces, 2018
A Banach space X is said to have the fixed point property if for each nonexpansive mapping T:E→E on a bounded closed convex subset E of X has a fixed point. Let X be an infinite dimensional unital Abelian complex Banach algebra satisfying the following: (
P. Thongin, W. Fupinwong
doaj   +2 more sources

The product property of the almost fixed point property for digital spaces

open access: yesAIMS Mathematics, 2021
Consider two digital spaces $ (X_i, k_i), i \in \{1, 2\} $, (in the sense of Rosenfeld model) satisfying the almost fixed point property(AFPP for brevity).
Jeong Min Kang, Sang-Eon Han
doaj   +1 more source

Tameness in least fixed-point logic and McColm's conjecture [PDF]

open access: yes, 2021
We investigate four model-theoretic tameness properties in the context of least fixed-point logic over a family of finite structures. We find that each of these properties depends only on the elementary (i.e., first-order) limit theory, and we completely
Bhaskar, Siddharth, Kruckman, Alex
core   +2 more sources

Set Invariant Means and Set Fixed Point Properties

open access: yesCommunications in Advanced Mathematical Sciences, 2022
In this paper, we introduce a concept of fixed point property for a semigroup $S$ called $A$-fixed point property, where $A$ is a non-empty subset of $S$. Also, the relationship between $A$-amenability and $A$-fixed point property is investigated.
Moslem Amini Nia
doaj   +1 more source

Fixed point structures on a set-mapping pair and cartesian product

open access: yesAnnals 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

The Alexandroff-Urysohn Square and the Fixed Point Property

open access: yesFixed Point Theory and Applications, 2009
Every continuous function of the Alexandroff-Urysohn Square into itself has a fixed point. This follows from G. S. Young's general theorem (1946) that establishes the fixed-point property for every arcwise connected Hausdorff space in which each ...
Hagopian CL, Marsh MM, Foregger TH
doaj   +2 more sources

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