Results 1 to 10 of about 22,479 (159)

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   +4 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, Hamid Mottaghi Golshan   +1 more
doaj   +2 more sources

Revisiting Probabilistic Metric Spaces

International Journal of Topology
The 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   +2 more sources

Fixed Point Results in Generalized Menger Probabilistic Metric Spaces with Applications to Decomposable Measures

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, Tatjana Došenović, Dušan Rakić, Stojan Radenović   +3 more
doaj   +3 more sources

Strong Statistical Convergence in Probabilistic Metric Spaces

Stochastic Analysis and Applications, 2008
In this article, we introduce the concepts of strongly statistically convergent sequence and strong statistically Cauchy sequence in a probabilistic metric (PM) space endowed with the strong topology, and establish some basic facts. Next, we define the strong statistical limit points and the strong statistical cluster points of a sequence in this space
Serpil Pehlivan
exaly   +5 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

The complexity probabilistic quasi-metric space

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   +5 more sources

Designs in Finite Metric Spaces: A Probabilistic Approach [PDF]

Graphs and Combinatorics, 2021
18 ...
Shi, Minjia, Rioul, Olivier, Solé, Patrick   +2 more
openaire   +2 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

Probabilistic metric spaces as enriched categories [PDF]

Fuzzy Sets and Systems, 2013
In this paper we investigate Cauchy completeness and exponentiablity for quantale enriched categories, paying particular attention to probabilistic metric spaces.
Dirk Hofmann, C. D. Reis
openaire   +2 more sources