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1
Content available remote Some thoughts on Polish contributions to fixed point theory
100%
Kirk W. A.
Wiadomości Matematyczne
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2012
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tom T. 48, Nr 2
127--134
2
Content available remote Computing Reidemeister classes
80%
Ferrario D.
Fundamenta Mathematicae
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1998
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tom 158
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nr 1
1-18
EN
In order to compute the Nielsen number N(f) of a self-map f: X → X, some Reidemeister classes in the fundamental group $π_1(X)$ need to be distinguished. In this paper some algebraic results are given which allow distinguishing Reidemeister classes and hence computing the Reidemeister number of some maps. Examples of computations are presented.
3
Content available remote Fixed point theory for multimaps defined on admissible subsets of topological vector spaces
80%
Agarwal R. P. , O’regan D.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
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2004
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tom Vol. 44, nr 1
1--10
EN
New fixed point theory is presented for compact Uck(X, X) maps where X is an admissible subset of a Hausdorff topological vector space.
4
Content available remote Investigation of E-Cigarette Smoking Model with Mittag-Leffler Kernel
80%
Uçar E. , Uçar S. , Evirgen F. , Özdemir N.
Foundations of Computing and Decision Sciences
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2021
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tom Vol. 46, No. 1
97--109
EN
Smoking is the most lethal social poisoning event. The World Health Organization defines smoking as the most important preventable cause of disease. Around 4.9 million people worldwide die from smoking every year. In order to analysis this matter, we aim to investigate an e-cigarette smoking model with Atangana-Baleanu fractional derivative. We obtain the existence conditions of the solution for this fractional model utilizing fixed-point theory. After giving existence conditions, the uniqueness of the solution is proved. Finally, to show the effect of the Atangana-Baleanu fractional derivative on the model, we give some numerical results supported by illustrative graphics.
5
Content available remote Fixed point theory for multimaps defined on closed subsets of Frechet spaces: the projective limit approach
80%
Agarwal R. P. , O'Regan D.
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tom Vol. 46, [Z] 2
169-179
EN
New fixed point results are presented for maps defined on closed subsets of a Fr´echet space E. The proof relies on fixed point results in Banach spaces and viewing E as the projective limit of a sequence of Banach spaces.
6
Content available remote The Reidemeister trace and the calculation of the Nielsen number
80%
Hart E. L.
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tom 49
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nr 1
151-157
7
Content available remote Commutators of diffeomorphisms of a manifold with boundary
70%
Rybicki T.
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1998
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tom 68
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nr 3
199-210
EN
A well known theorem of Herman-Thurston states that the identity component of the group of diffeomorphisms of a boundaryless manifold is perfect and simple. We generalize this result to manifolds with boundary. Remarks on $C^r$-diffeomorphisms are included.
8
Content available remote A Hierarchy of Languages with Catenation and Shuffle
70%
Kudlek M. , Flick N. E.
Fundamenta Informaticae
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2013
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tom Vol. 128, nr 1-2
113--128
EN
We present basic structures, definitions, normal forms, and a hierarchy of languages based on catenation, shuffle and their iterations, defined by algebraic closures or least fixed point solutions to systems of equations.
9
Content available remote State estimation for nonlinear discrete-time delay systems
60%
Labriji E. H. , Lahmidi F. , Namir A.
Archives of Control Sciences
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2006
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tom Vol. 16, no. 4
463-473
10
Content available remote On a first-order differential system with initial and nonlocal boundary conditions
51%
Ngoc L. T. P. , Long N. T.
Demonstratio Mathematica
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2022
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tom Vol. 55, nr 1
277--296
EN
This paper is devoted to the existence of solutions and the multiplicity of positive solutions of an initial-boundary value problem for a nonlinear first-order differential system with nonlocal conditions. The main tool is the fixed-point theorem in which we construct the novel representation of the associated Green’s functions with useful properties and define a cone in the Banach space suitably. Some examples are also given to demonstrate the validity of the main results.
11
Content available remote Fixed point theory for Volterra Kakutani Monch maps
51%
Banaś J. , O'Regan D.
Journal of Mathematics and Applications
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2008
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tom Vol. 30
33-41
EN
New fixed point theorems for multivalued Volterra Kakutani Mönch maps between Fréchet spaces are presented. The proof relies on fixed point theory in Banach spaces and viewing a Frechét space as the projective limit of a sequence of Banach spaces.
12
Content available remote A robust study of the transmission dynamics of zoonotic infection through non-integer derivative
51%
Jan R. , Alharbi A. , Boulaaras S. , Alyobi S. , Khan Z.
Demonstratio Mathematica
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2022
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tom Vol. 55, nr 1
922--938
EN
In Sub-Saharan Africa, zoonotic diseases are the leading cause of sickness and mortality, yet preventing their spread has long been difficult. Vaccination initiatives have significantly reduced the frequency of zoonotic diseases mostly in African regions. Nonetheless, zoonotic illnesses continue to be a hazard to underdeveloped countries. Zoonotic infections are spread by direct contact, food, and water. We construct an epidemic model to understand zoonotic disease transmission phenomena. The model is examined using the fundamental results of fractional theory. The reproduction parameter R0 was obtained by inspecting the model’s steady states. The stability of the system’s steady states has been demonstrated. The system’s reproduction parameter is quantitatively explored by varying various input parameters. Furthermore, the presence and uniqueness of the solution of the proposed dynamics of zoonotic diseases have been demonstrated. Different simulations of the recommended zoonotic disease model with different input factors are performed to inspect the complex dynamics of zoonotic disease with the influence of various model factors. To establish effective prevention and control measures for the infection, we analyse dynamical behaviour of the system. Decreasing the fractional order θ can decrease the infection level significantly. Different factors for reducing zoonotic diseases were recommended to regional policymakers.
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