Results 11 to 20 of about 242 (55)
International 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
Demonstratio 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
Bounded distortion homeomorphisms on ultrametric spaces [PDF]
, 2010 It is well-known that quasi-isometries between R-trees induce power quasi-symmetric homeomorphisms between their ultrametric end spaces. This paper investigates power quasi-symmetric homeomorphisms between bounded, complete, uniformly perfect ...
Hughes, Bruce +2 more
core +3 more sources
The dimension of the boundary of the Lévy Dragon
International 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
On best proximity points for set-valued contractions of Nadler type with respect to b-generalized pseudodistances in b-metric spaces [PDF]
, 2014 In this paper, in b-metric space, we introduce the concept of b-generalized pseudodistance which is an extension of the b-metric. Next, inspired by the ideas of Nadler (Pac. J. Math. 30:475-488, 1969) and Abkar and Gabeleh (Rev. R. Acad.
Plebaniak, Robert
core +2 more sources
Best proximity pair results for relatively nonexpansive mappings in geodesic spaces [PDF]
, 2013 Given $A$ and $B$ two nonempty subsets in a metric space, a mapping $T : A \cup B \rightarrow A \cup B$ is relatively nonexpansive if $d(Tx,Ty) \leq d(x,y) \text{for every} x\in A, y\in B.$ A best proximity point for such a mapping is a point $x \in A ...
Leon, Aurora Fernandez, Nicolae, Adriana
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Extension and reconstruction theorems for the Urysohn universal metric space [PDF]
, 2009 We prove some extension theorems involving uniformly continuous maps of the universal Urysohn space. We also prove reconstruction theorems for certain groups of autohomeomorphisms of this space and of its open subsets.Comment: Final and shortened version,
A. H. Mekler +19 more
core +2 more sources
On Metric Ramsey-type Dichotomies
, 2002 The classical Ramsey theorem, states that every graph contains either a large clique or a large independent set. Here we investigate similar dichotomic phenomena in the context of finite metric spaces.
Bartal, Yair +3 more
core +3 more sources
Locally n-Connected Compacta and UVn-Maps
Analysis 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
On some low distortion metric Ramsey problems
, 2004 In this note, we consider the metric Ramsey problem for the normed spaces l_p. Namely, given some 1=1, and an integer n, we ask for the largest m such that every n-point metric space contains an m-point subspace which embeds into l_p with distortion at ...
Assaf Naor +3 more
core +1 more source