Results 271 to 280 of about 3,082,536 (295)

Uniformly continuous maps between ends of $${\mathbb{R}}$$ -trees

Mathematische Zeitschrift, 2008
In the paper under review, the authors study a categorial correspondence of certain coarse maps between trees, on the one hand, and uniformly continuous maps between the corresponding end spaces of such trees, i.e. ultrametric spaces, on the other hand.
Martínez-Pérez, Álvaro, Morón, Manuel A.   +1 more
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Two new theorem on mappings uniformly continuous and convex with applications to quadrature rules and means

Applied Mathematics and Computation, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ozdemir, MUHAMET EMİN, Kirmaci, US
exaly   +4 more sources

Extension and the concept of locally uniformly continuous mappings

Functional Analysis and Its Applications, 1972
exaly   +3 more sources

A two-dimensional inequality and uniformly continuous retractions [PDF]

Journal of Mathematical Analysis and Applications, 2008
We prove a new inequality valid in any two-dimensional normed space. As an application, it is shown that the identity mapping on the unit ball of an infinite-dimensional uniformly convex Banach space is the mean of n uniformly continuous retractions from
Mena-Jurado, J.F., Navarro-Pascual, J.C., Sánchez-Lirola, M.G.   +2 more
exaly   +2 more sources

Lattices of uniformly continuous functions

Topology and Its Applications, 2013
We obtain an internal characterization of the lattice U(X) of real-valued uniformly continuous functions on a uniform space X.Keywords: Equi-uniformly complete, equi-uniformly continuous, real lattice, uniformly continuous functionQuaestiones ...
Felix Cabello Sanchez, Javier Cabello Sanchez   +1 more
exaly   +3 more sources

Existence of lattice-valued uniformly continuous mappings

Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569), 2002
In L-fuzzy topology, the theorem of existence of uniformly continuous mappings is very essential for the theory of uniform spaces and theory of metric spaces. In fact, the main and basic theorem "An L-fuzzy topological space is uniformizable if and only if it is completely regular" is just based on the theorem of existence of uniformly continuous ...
null Mao-kang Luo, null Ying-ming Liu
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UNIFORMLY CONTINUOUS MAPPINGS ON PREMETRIC SPACES

Bukovinian Mathematical Journal
We study the notion of uniformly continuous mapping between quasi-metric spaces and construct an example of the topological homeomorphism between two compact Hausdorff partially metric spaces such that the corresponding mapping between quasi-metric spaces is not uniformly continuous.
V. Mykhaylyuk, V. Myronyk
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Some stronger forms of topological transitivity and sensitivity for a sequence of uniformly convergent continuous maps

Journal of Mathematical Analysis and Applications, 2021
Given a metric space \(H\) and a sequence of continuous self-maps \((g_n)\) uniformly converging to a continuous self-map \(g\) of \(H\), the paper deals with the problem of understanding which properties of the dynamical systems \((H,g_n)\) pass to the limit system \((H,g)\).
Li, Risong, Lu, Tianxiu, Chen, Guanrong, Liu, Guo   +3 more
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On a topologically uniformly continuous map

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
Let X and Y be metrizable spaces. A map X —> Y is called topologically uniformly continuous, if for every admissible metric р on X there is an admissible metric a on Y such that for the metric spaces (X, p) and (Y, a) the map (X, p) —^ (Y, a) is uniformly continuous. In this article such maps are investigated.
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Smoothing of Hilbert-valued uniformly continuous maps

Izvestiya: Mathematics, 2005
We approximate (in the uniform norm) Hilbert-valued uniformly continuous maps defined on , , by maps with bounded first derivatives and maximal local smoothness, which coincides with the smoothness of the space. The result obtained is definitive as far as the smoothness of smoothing maps is concerned since there is a 1-Lipschitzian map from , , to that
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