Results 11 to 20 of about 43 (41)

Atomoicity of mappings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 4, Page 729-734, 1998., 1997
A mapping f : X → Y between continua X and Y is said to be atomic at a subcontinuumK of the domain X provided that f(K) is nondegenerate and K = f−1(f(K)). The set of subcontinua at which a given mapping is atomic, considered as a subspace of the hyperspace of all subcontinua of X, is studied.
Janusz J. Charatonik   +1 more
wiley   +1 more source

Convergence of modified S-iteration process for two asymptotically quasi-nonexpansive type mappings in CAT(0) spaces

open access: yesDemonstratio Mathematica, 2016
The purpose of this paper is to study convergence of a newly defined modified S-iteration process to a common fixed point of two asymptotically quasi-nonexpansive type mappings in the setting of CAT(0) space. We give a suffcient condition for convergence
Saluja G. S.
doaj   +1 more source

The dimension of the boundary of the Lévy Dragon

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 627-632, 1997., 1997
In this paper we describe the computations done by the authors in determining the dimension of the boundary of the Lévy Dragon. A general theory was developed for calculating the dimension of a self‐similar tile and the theory was applied to this particular set. The computations were challenging.
P. Duvall, J. Keesling
wiley   +1 more source

Locally n-Connected Compacta and UVn-Maps

open access: yesAnalysis and Geometry in Metric Spaces, 2015
We provide a machinery for transferring some properties of metrizable ANR-spaces to metrizable LCn-spaces. As a result, we show that for completely metrizable spaces the properties ALCn, LCn and WLCn coincide to each other.
Valov V.
doaj   +1 more source

Echeloned Spaces

open access: yesForum of Mathematics, Sigma
We introduce the notion of echeloned spaces – an order-theoretic abstraction of metric spaces. The first step is to characterize metrizable echeloned spaces. It turns out that morphisms between metrizable echeloned spaces are uniformly continuous or have
Maxime Gheysens   +4 more
doaj   +1 more source

ℐ-sn-metrizable spaces and the images of semi-metric spaces

open access: yesOpen Mathematics
The theory of generalized metric spaces is an active topic in general topology. In this article, we utilize the concepts of ideal convergence and networks to discuss the metrization problem and the mutual classification problem between spaces and ...
Zhou Xiangeng   +3 more
doaj   +1 more source

Lattictic non-archimedean random stability of ACQ functional equation

open access: yesAdvances in Difference Equations, 2011
In this paper, we prove the generalized Hyers-Ulam stability of the following additive-cubic-quartic functional equation 1 1 f ( x + 2 y ) + 1 1 f ( x - 2 y ) = 4 4 f ( x + y ) + 4 4 f ( x - y ) + 1 2 f ( 3 y ) - 4 8 f ( 2 ...
Saadati Reza, Cho Yeol
doaj  

Fixed Point Theorem in M-Fuzzy Metric Spaces with property (E)

open access: yes, 2008
In this paper, a common fixed point theorem in M-fuzzy metric spaces for property (E) is proved. AMS Subject Classification: 54E40, 54E35, 54H25.
S. Sedghi, N. Shobe
core  

Engineer: The professional bulletin for Army engineers

open access: yes, 2016
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core  

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