Results 1 to 10 of about 4,445,349 (240)
Probabilistic Generalized Metric Spaces and Nonlinear Contractions
Demonstratio Mathematica, 2016 We give a probabilistic generalization of the theory of generalized metric spaces [2]. Then, we prove a fixed point theorem for a self-mapping of a probabilistic generalized metric space, satisfying the very general nonlinear contraction condition ...
Mbarki Abderrahim, Naciri Rachid
doaj +3 more sources
Revisiting Probabilistic Metric Spaces
International Journal of TopologyThe field of probabilistic metric spaces has an intrinsic interest based on a blend of ideas drawn from metric space theory and probability theory. The goal of the present paper is to introduce and study new ideas in this field.
Michael D. Rice
doaj +3 more sources
The complexity probabilistic quasi-metric space [PDF]
Journal of Mathematical Analysis and Applications, 2011 The authors acknowledge the support of the Spanish Ministry of Science and Innovation under grant MTM2009-12872-C02-01.
Salvador Romaguera, Pedro Tirado
exaly +6 more sources
Probabilistic modular metric spaces [PDF]
Journal of Hyperstructures, 2020 The purpose of this study is to investigate the connection between probabilistic and modular metric spaces. We discussseveral important properties such as convergence and completeness,etc, and the relationship among the mentioned properties in the ...
Kianoush Fathi Vajargah +1 more
doaj +2 more sources
Statistical convergence in probabilistic generalized metric spaces w.r.t. strong topology
Journal of Inequalities and Applications, 2021 In this paper, the concept of probabilistic g-metric space with degree l, which is a generalization of probabilistic G-metric space, is introduced. Then, by endowing strong topology, the definition of l-dimensional asymptotic density of a subset A of N l
Rasoul Abazari
doaj +2 more sources
Axioms, 2023 The aim of this paper is to give some fixed point results in generalized Menger probabilistic metric spaces. Moreover, some nontrivial examples are presented to illustrate the superiority of the obtained results.
Huaping Huang +3 more
doaj +3 more sources
A Representation theorem for probabilistic metric spaces in general [PDF]
Czechoslovak Mathematical Journal, 2000 The paper contains a remarkable improvement of a result by \textit{R.\ Stevens} [Fundam.\ Math.\ 61, 259-269 (Zbl 0175.46504)]. Stevens's theorem states that if \((S,F)\) is a Menger space under the \(t\)-norm \(T=\) Min and if each distance distribution function \(F_{pq} (x)\) \((p,q \in S, p \neq q)\) is continuous, then \((S,F)\) is a metrically ...
Mingxue Liu
exaly +2 more sources
Probabilistic convergence spaces and generalized metric spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1998 The category PPRS(Δ), whose objects are probabilistic pretopological spaces which satisfy an axiom (Δ) and whose morphisms are continuous mappings, is introduced.
Paul Brock
doaj +3 more sources
Designs in Finite Metric Spaces: A Probabilistic Approach [PDF]
Graphs and Combinatorics, 2021 18 ...
Shi, Minjia +2 more
openaire +3 more sources
Quantale-valued Cauchy tower spaces and completeness
Applied General Topology, 2021 Generalizing the concept of a probabilistic Cauchy space, we introduce quantale-valued Cauchy tower spaces. These spaces encompass quantale-valued metric spaces, quantale-valued uniform (convergence) tower spaces and quantale-valued convergence tower ...
Gunther Jäger, T. M. G. Ahsanullah
doaj +1 more source