Fixed point theorems for \(\varphi \)-contraction mappings in probabilistic generalized Menger space

DOI10.1007/S13226-020-0414-8OpenAlexW3037645855MaRDI QIDQ2195654

Shahnaz Jafari, Maryam Shams

Publication date: 27 August 2020

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-020-0414-8

zbMATH Keywords

fixed pointdistribution functioncontraction mappingscontinuous \(t\)-normprobabilistic \(\mathbb{G} \)-Menger space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

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• Common fixed point theorems for three pairs of self-mappings satisfying the common \((E.A)\) property in Menger probabilistic \(G\)-metric spaces
• \(\varphi\)-contraction in generalized probabilistic metric spaces
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• Existence of fixed point results in \(G\)-metric spaces
• \(G\)-metric spaces in any number of arguments and related fixed-point theorems
• Generalized probabilistic metric spaces and fixed point theorems
• A new contraction principle in Menger spaces
• Fixed point results on complete G-metric spaces
• Fixed point theorems by altering distances between the points
• 2‐metrische Räume und ihre topologische Struktur
• Statistical Metrics

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