Results 11 to 20 of about 398 (70)

Quadruple fixed point result in m-metric space

open access: yes, 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

Restricting uniformly open surjections [PDF]

open access: yes, 2017
We employ the theory of elementary submodels to improve a recent result by Aron, Jaramillo and Le Donne (Ann. Acad. Sci. Fenn. Math., to appear) concerning restricting uniformly open, continuous surjections to smaller subspaces where they remain ...
Kania, Tomasz, Rmoutil, Martin
core   +4 more sources

A two-parameter control for contractive-like multivalued mappings [PDF]

open access: yes, 2012
We propose a general approach to defining a contractive-like multivalued mappings $F$ which avoids any use of the Hausdorff distance between the sets $F(x)$ and $F(y)$. Various fixed point theorems are proved under a two-parameter control of the distance
Browder   +11 more
core   +2 more sources

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

Non-stratifiability of Ck(X) for a class of separable metrizable X [PDF]

open access: yes, 2007
If X is a separable 0-dimensional metrizable space in which every compact subset is countable, then C(X) with the compact-open topology is stratifiable iff X is scattered.
Nyikos, Peter J.
core   +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

Mizoguchi-Takahashi\u27s fixed point theorem is a real generalization of Nadler\u27s [PDF]

open access: yes, 2008
We give an example which says that Mizoguchi-Takahashi’s fixed pointtheorem for set-valued mappings is a real generalization of Nadler’s. The example isa counterexample to a recent result in Eldred, Anuradha and Veeramani [J. Math.Anal. Appl. (2007), doi:
Suzuki Tomonari
core   +2 more sources

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

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