Probabilistic \(b\)-metric spaces and nonlinear contractions

DOI10.1186/s13663-017-0624-xzbMath1381.54036OpenAlexW2771409039WikidataQ59481825 ScholiaQ59481825MaRDI QIDQ680765

Rachid Oubrahim, Abderrahim Mbarki

Publication date: 29 January 2018

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-017-0624-x

zbMATH Keywords

fixed pointsnonlinear contractionsprobabilistic (fuzzy) \(b\)-metric spaces

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point and coincidence theorems (topological aspects) (54H25) Operator theory in probabilistic metric linear spaces (47S50) Probabilistic metric spaces (54E70)

Related Items

Some fixed point results in a strong probabilistic metric spaces, Unnamed Item, Some properties of convexity structure and applications in \(b\)-Menger spaces

Cites Work

• A fixed point theorem for set-valued quasi-contractions in \(b\)-metric spaces
• Suzuki-type fixed point results in metric type spaces
• On probabilistic \(\varphi\)-contractions on Menger spaces
• On fixed-point theorems in fuzzy metric spaces
• Probabilistic generalized metric spaces and nonlinear contractions
• Equivalence of some contractivity properties over metrical structures
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