Results 1 to 10 of about 37,696 (254)

Stable Convergence Theorems for Products of Uniformly Continuous Mappings in Metric Spaces [PDF]

Axioms, 2021
We study the behavior of inexact products of uniformly continuous self-mappings of a complete metric space that is uniformly continuous and bounded on bounded sets.
Alexander J. Zaslavski
doaj   +4 more sources

A study of uniformities on the space of uniformly continuous mappings [PDF]

Open Mathematics, 2020
Abstract New families of uniformities are introduced on UC(X,Y) , the class of uniformly continuous mappings between X and Y, where (X ...
Ankit Gupta, Abdulkareem Hamarsheh, Renȳ George   +2 more
exaly   +3 more sources

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
doaj   +2 more sources

Continuous and uniformly continuous maps of powers of metric spaces

Topology and Its Applications, 1995
The clone \(Cl(A, {\mathbf A})\) of an object \(A\) in a category \(\mathbf A\) with finite products is the full subcategory of \(\mathbf A\) whose objects are the finite powers \(A^n\) of \(A\). The author investigates for metric spaces \(A\) the relations between \(Cl(A, \mathbf{Top})\) and \(Cl(A, \mathbf{Unif})\).
Vera Trnkova
exaly   +3 more sources

STRONG CONVERGENCE FOR THREE CLASSES OF UNIFORMLY EQUI-CONTINUOUS AND ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS [PDF]

Journal of the Korean Mathematical Society, 2008
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.
Yongfu Su, Xiaolong Qin, Meijuan Shang   +2 more
exaly   +2 more sources

Strong convergence theorems for uniformly continuous pseudocontractive maps

Journal of Mathematical Analysis and Applications, 2006
Let \(K\) be a nonempty closed convex subset of a reflexive Banach space, \(T\) a uniformly continuous pseudocontraction, and let \(u \in K\). The authors establish several sufficient conditions under which the iteration process \(x_0 \in K\), \(x_{n+1} := \mu_n(\alpha_nTx_n + (1 - \alpha_n)x_n) + (1 - \mu_n)u\) converges strongly to a fixed point of \(
C E Chidume
exaly   +2 more sources

Generic uniformly continuous mappings on unbounded hyperbolic spaces

Journal of Mathematical Analysis and Applications
We consider a complete, unbounded, hyperbolic metric space $X$ and a concave, nonzero and nondecreasing function $ω:[0,+\infty)\to[0,+\infty)$ with $ω(0)=0$ and study the space $\mathcal{C}_ω(X)$ of uniformly continous self-mappings on $X$ whose modulus of continuity is bounded above by $ω$.
Davide Ravasini
exaly   +3 more sources

Asymmetry of posterior pole remodeling in high myopia [PDF]

Scientific Reports
To characterize posterior pole morphology in high myopia using widefield OCT angiography (OCTA)–derived curvature metrics, with particular emphasis on asymmetry and regional variation, and to determine whether posterior deformation shows structured ...
Ze–xu Wang, Bin Wei, Rui Li
doaj   +2 more sources

Convergence theorems for fixed points of uniformly continuous generalized Φ-hemi-contractive mappings

Journal of Mathematical Analysis and Applications, 2005
The authors improve some recent results on the iterative approximation of fixed points, given by [\textit{S.--S. Chang, Y.~J. Cho, H.--Y. Zhou}, ``Iterative methods for nonlinear operator equation in Banach spaces'' (Nova Science Publishers, Huntington/NY), (2002; Zbl 1070.47054), see the preceding review] and \textit{F. Gu} [Northeast Math. J. 17, 340-
C E Chidume
exaly   +2 more sources

Index boundedness and uniform connectedness of space of the G-permutation degree

Applied General Topology, 2021
In this paper the properties of space of the G-permutation degree, like: weight, uniform connectedness and index boundedness are studied. It is proved that: (1) If (X, U) is a uniform space, then the mapping π s n, G : (X n , U n ) → (SP n GX, SP n GU ...
R. B. Beshimov, Dimitrios N. Georgiou, R. M. Zhuraev   +2 more
doaj   +1 more source