Metrization of probabilistic metric spaces. Applications to fixed point theory and Arzela-Ascoli type theorem

DOI10.1016/j.topol.2020.107549zbMath1479.54059arXiv1907.05241OpenAlexW3113765575MaRDI QIDQ2219293

Bruno Nazaret, Mohammed Bachir

Publication date: 19 January 2021

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.05241

zbMATH Keywords

fixed point theoremArzela-Ascoli type theoremmetrization of probabilistic metric spaceprobabilistic 1-Lipschitz map

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Probabilistic metric spaces (54E70) Functional analysis in probabilistic metric linear spaces (46S50)

Cites Work

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• Statistical metric spaces
• The metrization of statistical metric spaces
• Triangular norms. Position paper I: Basic analytical and algebraic properties.
• Triangular norms
• On the variational principle
• \(k\)-\(l_p\)-Lipschitz t-norms
• A metric for weak convergence of distribution functions

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