Results 71 to 80 of about 1,462,947 (135)

Condensing on metric spaces : modeling, analysis and simulation [PDF]

open access: yes, 2009
In this work, we extend the Hegselmann and Krause (HK) model, presented in [16] to an arbitrary metric space. We also present some theoretical analysis and some numerical results of the condensing of particles in finite and continuous metric spaces.
Zahri, Mostafa
core  

A short proof of the metrizability of $\mathcal{F}$-metric spaces

open access: yes, 2019
The main purpose of this manuscript is to provide a short proof of the metrizability of $\mathcal{F}$-metric spaces introduced by Jleli and Samet in \cite[\, Jleli, M. and Samet, B., On a new generalization of metric spaces, J. Fixed Point Theory Appl. (2018) 20:128]{JS1}.
Som, Sumit, Dey, Lakshmi Kanta
openaire   +2 more sources

Berwald m-Kropina spaces of arbitrary signature:Metrizability and Ricci-flatness [PDF]

open access: yes
The (pseudo-)Riemann-metrizability and Ricci-flatness of Finsler spaces with m-Kropina metric F = α 1+mβ −m of Berwald type are investigated. We prove that the affine connection of F can locally be understood as the Levi-Civita connection of some (pseudo-
Heefer, Sjors
core   +1 more source

The topological type of spaces consisting of certain metrics on locally compact metrizable spaces with the compact-open topology

open access: yes, 2022
For a separable locally compact but not compact metrizable space $X$, let $αX = X \cup \{x_\infty\}$ be the one-point compactification with the point at infinity $x_\infty$. We denote by $EM(X)$ the space consisting of admissible metrics on $X$, which can be extended to an admissible metric on $αX$, endowed with the compact-open topology. Let $ \mathbf{
openaire   +2 more sources

Cofinal bicompleteness and quasi-metrizability [PDF]

open access: yes, 1999
[EN] We introduce the notions of a cofinally bicomplete quasi-uniformity and of a cofinally bicomplete quasi-pseudometric. The Sorgenfrey quasi-metric and the Kofner quasi-metric are interesting examples of cofinally bicomplete quasi-metrics.
Romaguera Bonilla, Salvador   +3 more
core  

Metrization of Polygonal b-Metric Spaces and Some Fixed Point in Extended Polygonal b-Metric Spaces with Applications

open access: yesInternational Journal of Topology
We establish a metrization result for some bv(s)-metric spaces, extending a result recently established for rectangular b-metric spaces. Furthermore, we introduce the notion of an extended polygonal b-metric space (or bv(θ)-metric space), which unifies and generalizes several classes of spaces, including metric spaces, rectangular metric spaces, b ...
Zahir Mouhoubi   +3 more
openaire   +1 more source

Metrization of soft metric spaces and its application to fixed point theory

open access: yesAIMS Mathematics
<abstract><p>Soft set theory has attracted many researchers from several different branches. Sound theoretical improvements are accompanied with successful applications to practical solutions of daily life problems. However, some of the attempts of generalizing crisp concepts into soft settings end up with completely equivalent structures ...
Gültekin Soylu, Müge Çerçi
openaire   +2 more sources

Probability measures on metric spaces

open access: yes, 2005
In this book, the author gives a cohesive account of the theory of probability measures on complete metric spaces (which is viewed as an alternative approach to the general theory of stochastic processes).
Parthasarathy, K R
core  

partial translation algebras for certain discrete metric spaces

open access: yes, 2010
The notion of a partial translation algebra was introduced by Brodzki, Nibloand Wright in [11] to provide an analogue of the reduced group C*-algebrafor metric spaces.
Putwain, Rosemary Johanna
core   +1 more source

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