Results 11 to 20 of about 149 (59)
Quadruple fixed point result in m-metric space
, 2021 The Banach Contraction theorem is the basis of the theory of fixed points. Many scholars have been working in different directions on the Banach Theorem. Further theorems on coupled, tripled and quadruple fixed points are established.
M. Gandhi +2 more
semanticscholar +1 more source
Iterated function systems consisting of F-contractions
Fixed 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
A weak ergodic theorem for infinite products of Lipschitzian mappings
Abstract 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
A Universal Separable Diversity
Analysis 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
Intermediate Value Property for the Assouad Dimension of Measures
Analysis 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
Weakly compactly generated Frechet spaces
International 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 point theorem of six self-mappings in Menger spaces using (CLRST) property
Open 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
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Common fixed points of almost generalized (ψ,φ)s-contractive mappings in ordered b-metric spaces
, 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
On statistical convergence in quasi-metric spaces
Demonstratio 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
, 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
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