Results 21 to 30 of about 149 (57)

Iterated function systems consisting of F-contractions

open access: yesFixed Point Theory and Applications, 2013
In this paper we consider a particular case of a contractive self-mapping on a complete metric space, namely the F-contraction introduced by Wardowski (Fixed Point Theory Appl.
N. Secelean
semanticscholar   +1 more source

Intermediate Value Property for the Assouad Dimension of Measures

open access: yesAnalysis and Geometry in Metric Spaces, 2020
Hare, Mendivil, and Zuberman have recently shown that if X ⊂ ℝ is compact and of non-zero Assouad dimension dimA X, then for all s > dimA X, X supports measures with Assouad dimension s. We generalize this result to arbitrary complete metric spaces.
Suomala Ville
doaj   +1 more source

On statistical convergence in quasi-metric spaces

open access: yesDemonstratio Mathematica, 2019
A quasi-metric is a distance function which satisfies the triangle inequality but is not symmetric in general. Quasi-metrics are a subject of comprehensive investigation both in pure and applied mathematics in areas such as in functional analysis ...
İlkhan Merve, Kara Emrah Evren
doaj   +1 more source

A weak ergodic theorem for infinite products of Lipschitzian mappings

open access: yesAbstract and Applied Analysis, Volume 2003, Issue 2, Page 67-74, 2003., 2003
Let K be a bounded, closed, and convex subset of a Banach space. For a Lipschitzian self‐mapping A of K, we denote by Lip(A) its Lipschitz constant. In this paper, we establish a convergence property of infinite products of Lipschitzian self‐mappings of K.
Simeon Reich, Alexander J. Zaslavski
wiley   +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

Common fixed points of almost generalized (ψ,φ)s-contractive mappings in ordered b-metric spaces

open access: yes, 2013
In this paper, we introduce the notion of almost generalized (ψ,φ)s-contractive mappings and we establish some fixed and common fixed point results for this class of mappings in ordered complete b-metric spaces.
Jamal Rezaei Roshan   +4 more
semanticscholar   +1 more source

Common fixed points for single-valued and multi-valued maps satisfying a generalized contraction in G-metric spaces

open access: yes, 2012
In this article, we establish some common fixed point theorems for a hybrid pair {g, T} of single valued and multi-valued maps satisfying a generalized contractive condition defined on G-metric spaces. Our results unify, generalize and complement various
N. Tahat   +3 more
semanticscholar   +1 more source

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

Nonlinear coupled fixed point theorems in ordered generalized metric spaces with integral type

open access: yes, 2012
In this article, we study coupled coincidence and coupled common fixed point theorems in ordered generalized metric spaces for nonlinear contraction condition related to a pair of altering distance functions.
Y. Cho   +4 more
semanticscholar   +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

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