Results 61 to 70 of about 153,517 (179)
Thermodynamic Formalism for General Iterated Function Systems with Measures. [PDF]
Qual Theory Dyn Syst, 2023 Brasil JE, Oliveira ER, Souza RR.
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Möbius iterated function systems [PDF]
Transactions of the American Mathematical Society, 2012 Iterated function systems have been most extensively studied when the functions are affine transformations of Euclidean space and, more recently, projective transformations on real projective space. This paper investigates iterated function systems consisting of Möbius transformations on the extended complex plane or, equivalently, on the Riemann ...
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Some New Difference Inequalities and an Application to Discrete-Time Control Systems
Journal of Applied Mathematics, 2012 Two new nonlinear difference inequalities are considered, where the inequalities consist of multiple iterated sums, and composite function of nonlinear function and unknown function may be involved in each layer.
Hong Zhou +3 more
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MathematicsIn this paper, we examine a sequence of uncountable iterated function systems (U.I.F.S.), where each term in the sequence is constructed from an uncountable collection of contraction mappings along with a linear and continuous operator.
Ion Mierluș–Mazilu, Lucian Niță
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Mathematics, 2019 In this paper, we obtain multifractals (attractors) in the framework of Hausdorff b-metric spaces. Fractals and multifractals are defined to be the fixed points of associated fractal operators, which are known as attractors in the literature of fractals.
Sudesh Kumari +3 more
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New fixed point results in quasi-metric spaces and applications in fractals theory
Advances in Difference Equations, 2019 In this paper, we prove some fixed point theorems for ψF-contractions in the framework of quasi-metric spaces generalizing and improving several similar results in metric spaces.
Nicolae Adrian Secelean +2 more
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From set-valued dynamical processes to fractals [PDF]
Opuscula MathematicaWe present a general theory of topological semiattractors and attractors for set-valued semigroups. Our results extend and unify those previously obtained by Lasota and Myjak.
Grzegorz Guzik, Grzegorz Kleszcz
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Cantor Type Attractors in Stochastic Growth Models. [PDF]
We study a one-sector stochastic optimal growth model where production is affected by a shock taking one of two values. Such exogenous shock may enter multiplicatively or additively.
Mitra, Tapan, Privileggi, Fabio
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Hypercomplex Iterated Function Systems
, 2021 We introduce the novel concept of hypercomplex iterated function system (IFS) on the complete metric space $(\mathbb{A}_{n+1}^k,d)$ and define its hypercomplex attractor. Systems of hypercomplex function systems arising from hypercomplex IFSs and their backward trajectories are also introduced and it is shown that the attractors of such backward ...
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The contraction mapping principle and some applications
Electronic Journal of Differential Equations, 2009 These notes contain various versions of the contraction mapping principle. Several applications to existence theorems in the theories of differential and integral equations and variational inequalities are given.
Robert M. Brooks, Klaus Schmitt
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