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Totally bounded remainders of uniform spaces and samuel compactification of uniformly continuous mappings [PDF]
AIP Conference Proceedings, 2021 In this work we study totally bounded remainders of uniform spaces and Samuel compactification of uniformly continuous mappings.
Kanetov, B. E. +2 more
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Uniformly bounded maximal $\varphi$-disks, Bers space and harmonic maps [PDF]
Proceedings of the American Mathematical Society, 2000 Associated to any holomorphic function \(\varphi\) defined in the unit disc \(\Delta\) and any point \(z_0\) in \(\Delta\) at which \(\varphi(z_0)\neq 0\), a natural parameter \(w\) is defined by \[ w=\Phi(z)= \int^z_{z_0} \sqrt{\varphi (z)}dz. \] \(R_{z_0}(\varphi)\) is defined to be the largest Euclidean radius of a disc \(U\) in the \(w\)-plane such
Anić, I. +2 more
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Uniformly continuous composition operators in the space of bounded Φ-variation functions in the Schramm sense [PDF]
Opuscula Mathematica, 2012 We prove that any uniformly continuous Nemytskii composition operator in the space of functions of bounded generalized \(\Phi\)-variation in the Schramm sense is affine. A composition operator is locally defined.
Tomás Ereú +3 more
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Iterative Schemes of Mean Nonexpansive Mapping
Journal of Harbin University of Science and Technology, 2021 Based on Mann iteration, Ishikawa iteration and some other twostep iteration, threestep iteration methods, two new fourstep iteration schemes and one nstep iteration are constructed.
CUI Yunan , ZHANG Jiaxing
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Lower bounds for the decay of correlations in non-uniformly expanding maps [PDF]
Ergodic Theory and Dynamical Systems, 2017 We give conditions under which non-uniformly expanding maps exhibit lower bounds of polynomial type for the decay of correlations and for a large class of observables. We show that if the Lasota–Yorke-type inequality for the transfer operator of a first return map is satisfied in a Banach space ${\mathcal{B}}$, and the absolutely continuous invariant ...
Hu, Huyi, Vaienti, Sandro
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Iterative methods for monotone nonexpansive mappings in uniformly convex spaces
Advances in Nonlinear Analysis, 2021 We show the nonlinear ergodic theorem for monotone 1-Lipschitz mappings in uniformly convex spaces: if C is a bounded closed convex subset of an ordered uniformly convex space (X, ∣·∣, ⪯), T:C → C a monotone 1-Lipschitz mapping and x ⪯ T(x), then the ...
Shukla Rahul, Wiśnicki Andrzej
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An explicit Berry-Esséen bound for uniformly expanding maps on the interval [PDF]
Israel Journal of Mathematics, 2011 The author proves a Berry-Esséen bound for uniformly expanding Markov transformations on an interval and for Lipschitz observables. The Berry-Esséen inequality has been known from many sources (all of them are listed in the paper) with a non-explicit constant \(C\). To formulate the main result, some notations are needed.
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Analysis of Correlation Bounds for Uniformly Expanding Maps on [0, 1]
Axioms, 2023 In this paper, we provide the decay of correlations for random dynamical systems. Precisely, we consider the uniformly C2 piecewise expanding maps defined on the unit interval satisfying λ(Tω′)=inf|Tω′|>2. As a principal tool of these studies, we use a coupling method for analyzing the coupling time of observables with bounded variation.
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On Uniformly Generalized Lipschitzian Mappings
Fixed Point Theory and Applications, 2010 We consider another class of generalized Lipschitzian type mappings and utilize the same to prove fixed point theorems for asymptotically regular and uniformly generalized Lipschitzian one-parameter semigroups of self-mappings defined on bounded metric ...
Soliman AhmedH, Imdad M
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Uniformly continuous 1-1 functions on ordered fields not mapping interior to interior [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2008 In an earlier work we showed that for ordered fields F not isomorphic to the reals R, there are continuous 1-1 unctions on [0, 1]F which map some interior point to a boundary point of the image (and so are not open).
Mojtaba Moniri, Jafar S. Eivazloo
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