Results 91 to 100 of about 14,602 (198)
Counterexamples Regarding Linked and Lean Tree‐Decompositions of Infinite Graphs
Journal of Graph Theory, Volume 110, Issue 4, Page 398-407, December 2025.ABSTRACT Kříž and Thomas showed that every (finite or infinite) graph of tree‐width k ∈ N admits a lean tree‐decomposition of width k. We discuss a number of counterexamples demonstrating the limits of possible generalisations of their result to arbitrary infinite tree‐width.
Sandra Albrechtsen +3 more
wiley +1 more source
Families of quasi-pseudo-metrics generated by probabilistic quasi-pseudo-metric spaces [PDF]
Surveys in Mathematics and its Applications, 2007 This paper contains a study of families of quasi-pseudo-metrics (the concept of a quasi-pseudo-metric was introduced by Wilson, Albert and Kelly) generated by probabilistic quasi-pseudo-metric-spaces which are generalization of probabilistic metric ...
Mariusz T. Grabiec +2 more
doaj
Ahlfors-Regular Curves In Metric Spaces
, 2006 We discuss 1-Ahlfors-regular connected sets in a general metric space and prove that such sets are `flat' on most scales and in most locations. Our result is quantitative, and when combined with work of I.
Schul, Raanan
core
Pair (F, h) upper class on some fixed point results in probabilistic Menger space
International Journal of Analysis and Applications, 2020 In this paper, we define the concept of (F, h, α, β, ψ)- contractive mappings in a probabilistic Menger space, which generalizes some previous related concepts. Also, we investigate the existence of fixed points for such mappings. Some examples are given
Sh. Jafari +3 more
doaj
A contraction theorem in menger space
Tamkang Journal of Mathematics, 2010 The main purpose of this paper is to prove common fixed point theorem satisfying a new contraction type condition in Menger space.
B. D. Pant, Sunny Chauhan
openaire +2 more sources
International Journal of Analysis and Applications, 2019 In this paper, we introduce the notion of Menger probabilistic partial metric space and prove some fixed point theorems in the framework of such spaces. Some examples and an application to Volterra type integral equation are given to support the obtained
Amir Ghanenia +3 more
doaj +2 more sources
Lebesgue number and total boundedness
Pracì Mìžnarodnogo Geometričnogo CentruA generalization of the Lebesgue number lemma is obtained. For a metric space X in the class of strongly metrizable spaces, sufficient conditions for each open cover of X with a Lebesgue number has a finite subcover are obtained.
Ajit Kumar Gupta
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A common coupled fixed point theorem in intuitionistic Menger metric space [PDF]
Mathematica Moravica, 2016 We establish a common fixed point theorem for mappings under φ-contractive conditions on intuitionistic Menger metric spaces. As an application of our result we study the existence and uniquenes of the solution to a nonlinear Fredholm integral equation ...
Leila Aoua Ben, Aliouche Abdelkrim
doaj
Fixed point theorem satisfying cyclical conditions in b-Menger spaces
Moroccan Journal of Pure and Applied Analysis, 2019 In this work, we prove a fixed point theorem for mapping with cyclical conditions using comparison function in b-Menger spaces. We support our results by an example.
Mbarki Abderrahim, Oubrahim Rachid
doaj +1 more source
$\omega$ -cover and related spaces on the vietoris hyperspace $\mathcal F(X)$
Tạp chí Khoa học và Công nghệRecently, Tuyen et al. [1] showed that a space has a $\sigma$-(P)-strong network consisting of cs-covers (resp., $cs^*$-covers) if and only if the hyperspace $\mathcal F(X)$ does, where is one of the following properties: point finite, point countable,
Nguyen Xuan Truc +3 more
doaj +1 more source