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Three Types of Distributional Chaos for a Sequence of Uniformly Convergent Continuous Maps
Advances in Mathematical Physics, 2022 Let hss=1∞ be a sequence of continuous maps on a compact metric space W which converges uniformly to a continuous map h on W. In this paper, some equivalence conditions or necessary conditions for the limit map h to be distributional chaotic are obtained
Risong Li +3 more
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On uniformly continuous maps between function spaces [PDF]
Fundamenta Mathematicae, 2019 In this paper we develop a technique of constructing uni- formly continuous maps between function spaces Cp(X) endowed with the pointwise topology. We prove that if a space X is compact metrizable and strongly countable-dimensional, then there exists a uniformly contin- uous surjection from Cp([0,1]) onto Cp(X).
Mikołaj Krupski +2 more
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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
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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
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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
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Tokyo Journal of Mathematics, 2009 The authors extend one of the main results of [\textit{A.\,Luttman} and \textit{T.\,Tonev}, ``Uniform algebra isomorphisms and peripheral multiplicativity'', Proc.\ Am.\ Math.\ Soc.\ 135, No.\,11, 3589--3598 (2007; Zbl 1134.46030)] for the case of function algebras. The notion of function algebras considered in this paper is as follows.
Osamu Hatori +2 more
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HOOPS WITH QUASI-VALUATION MAPS [PDF]
Journal of Algebraic Systems, 2021 Based on subalgebras and filters in hoops, the notions of S-quasi-valuation maps and F-quasi-valuation maps are introduced, and related properties are investigated. Relations between S-quasi-valuation maps and F-quasi-valuation maps are introduced. Using
M. Aaly Kologani +3 more
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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 ...
Gupta Ankit +3 more
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The extension of equi-uniformly continuous families of mappings [PDF]
Pacific Journal of Mathematics, 1985 A subset S of a uniform space X is strongly U-embedded in X if every equi-uniformly continuous real-valued family of functions on S extends to an equi-uniformly continuous real-valued family on X. The relation between strong U-embedding and other uniform extension properties is discussed.
Levy, Ronnie, Rice, Michael D.
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Analyzing spatial inequality in the city of Kerman using spatial statistics [PDF]
جغرافیای اجتماعی شهری, 2023 Introduction: Cities, as complex social, geographical, and economic phenomena, also represent a significant spatial phenomenon. In fact, a city is a spatial unit where politics and power are closely intertwined, and cities require policies for their ...
Hanieh Ali Mirzaei +2 more
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