Results 11 to 20 of about 273 (53)

Common fixed point theorem of six self-mappings in Menger spaces using (CLRST) property

open access: yesOpen Mathematics, 2018
In this paper, we study the existence and uniqueness of common fixed point of six self-mappings in Menger spaces by using the common limit range property (denoted by (CLRST)) of two pairs.
Liu Xiao-lan   +4 more
doaj   +1 more source

Weakly compactly generated Frechet spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 4, Page 721-724, 1979., 1979
It is proved that a weakly compact generated Frechet space is Lindelöf in the weak topology. As a corollary it is proved that for a finite measure space every weakly measurable function into a weakly compactly generated Frechet space is weakly equivalent to a strongly measurable function.
Surjit Singh Khurana
wiley   +1 more source

On balancedness and D-Completeness of the space of Semi-lipschitz functions [PDF]

open access: yes, 2008
Let (X, d) be a quasi-metric space and (Y, q) be a quasi-normed linear space. We show that the normed cone of semi-Lipschitz functions from (X, d) to (Y, q) that vanish at a point x0 E X, is balanced.
Romaguera, S.   +2 more
core   +1 more source

A Universal Separable Diversity

open access: yesAnalysis and Geometry in Metric Spaces, 2017
The Urysohn space is a separable complete metric space with two fundamental properties: (a) universality: every separable metric space can be isometrically embedded in it; (b) ultrahomogeneity: every finite isometry between two finite subspaces can be ...
Bryant David, Nies André, Tupper Paul
doaj   +1 more source

Existence of doubling measures via generalised nested cubes

open access: yes, 2011
Working on doubling metric spaces, we construct generalised dyadic cubes adapting ultrametric structure. If the space is complete, then the existence of such cubes and the mass distribution principle lead into a simple proof for the existence of doubling
Käenmäki, Antti   +2 more
core   +1 more source

Tripled and coincidence fixed point theorems for contractive mappings satisfying Φ-maps in partially ordered metric spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
In this paper, we study some tripled fixed and coincidence point theorems for two mappings F : X × X × X → X and ɡ : X → X satisfying a nonlinear contraction based on ϕ-maps. Our results extend and improve many existing results in the literature.
Shatanawi Wasfi   +2 more
doaj   +1 more source

A counterexample to gluing theorems for MCP metric measure spaces

open access: yes, 2018
Perelman's doubling theorem asserts that the metric space obtained by gluing along their boundaries two copies of an Alexandrov space with curvature $\geq \kappa$ is an Alexandrov space with the same dimension and satisfying the same curvature lower ...
Rizzi, Luca
core   +3 more sources

Local dimensions in Moran constructions

open access: yes, 2015
We study the dimensional properties of Moran sets and Moran measures in doubling metric spaces. In particular, we consider local dimensions and $L^q$-dimensions.
Käenmäki, Antti   +2 more
core   +1 more source

Existence of Nonstationary Fixed Point Results on Multivalued Maps and Fractal Construction Using Trajectories

open access: yesAbstract and Applied Analysis
MSC2020 Classification: 28A80, 47H10, 54E50 ...
A. Herminau Jothy   +3 more
doaj   +1 more source

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