Results 61 to 70 of about 243,988 (164)
When Uniformly-continuous Implies Bounded
Let (X,p) and (Y,σ) be metric spaces. A function f : X → Y is (by definition) bounded if the image of f has finite σ-diameter. It is well-known that if X is compact then each continuous f : X → Y is bounded.
A. O’Farrell
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On ω-Limit Sets of Zadeh’s Extension of Nonautonomous Discrete Systems on an Interval
Let I = [ 0 , 1 ] and f n be a sequence of continuous self-maps on I which converge uniformly to a self-map f on I. Denote by F ( I ) the set of fuzzy numbers on I, and denote by ( F ( I ) , f ^ ) and ( F ( I ) ,
Guangwang Su, Taixiang Sun
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Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps [PDF]
We prove existence of finitely many ergodic equilibrium states for a large class of non-uniformly expanding local homeomorphisms on compact metric spaces and Holder continuous potentials with not very large oscillation. No Markov structure is assumed. If
P. Varandas, M. Viana
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STRONG CONVERGENCE FOR THREE CLASSES OF UNIFORMLY EQUI-CONTINUOUS AND ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS [PDF]
In this paper, we introduce a modified three-step iteration scheme with errors for three classes of uniformly equi-continuous and asymptotically quasi-nonexpansive mappings in the framework of uniformly convex Banach spaces. We then use this scheme to approximate a common fixed point of these mappings.
Xiaolong Qin, Yongfu Su, Meijuan Shang
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Assessing lagoon plume dispersion under variable metocean conditions
Coastal lagoons are ecologically sensitive environments that are highly vulnerable to anthropogenic pressures and pollutant dispersal. Understanding how pollutants move within these systems lays the groundwork for managing water quality and mitigating ...
Mattia Scovenna, Giovanni Besio
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Uniformly continuous maps between ends of R-trees
There is a well-known correspondence between infinite trees and ultrametric spaces which can be interpreted as an equivalence of categories and comes from considering the end space of the tree. In this equivalence, uniformly continuous maps between the end spaces are translated to some classes of coarse maps (or even classes of metrically proper ...
Pérez, Álvaro Martínez, Morón, M. A.
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The audio-magnetotelluric (AMT) sounding method has been widely applied in mineral exploration and engineering geology. Unfortunately, field-observed signals are often contaminated by various random noises, causing the signal-to-noise ratio (SNR) to ...
Dian Hong +5 more
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The hot deformation behavior of Ni–Cr–Fe-based ChS57 alloy was investigated by isothermal compression tests in the temperature range of 1000–1200 °C with strain rates covering 0.001–10 s−1.
Shuai Gao +5 more
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Hölder continuous retractions and amenable semigroups of uniformly Lipschitzian mappings in Hilbert spaces [PDF]
Suppose that S is a left amenable semitopological semigroup. We prove that if ${T_{t}: t \in S}$ is a uniformly k-Lipschitzian semigroup on a bounded closed and convex subset C of a Hilbert space and ...
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The Omega metric: a Hessian geometry for finite-depth structural variation
Complex systems exhibit not only increasing disorder but also the emergence of structured organization across space, time, and scale. The finite–depth Intropy framework formalized this interplay through a discrete structural potential profile Ω(k) and ...
Patrick Bini
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