A common fixed point theorem for \(R\)-weakly commuting mappings in probabilistic spaces with nonlinear contractive conditions

DOI10.1016/J.AMC.2007.12.020zbMath1152.54356OpenAlexW2031143730MaRDI QIDQ945246

Donal O'Regan, Nataša A. Babačev, Siniša N. Ješić

Publication date: 12 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.12.020

zbMATH Keywords

common fixed pointprobabilistic metric spaces\(R\)-weakly commuting mappingsnonlinear contractive conditions

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Probabilistic metric spaces (54E70)

Related Items (7)

Altering distances in probabilistic Menger spaces ⋮ A common fixed point theorem for non-self mappings in strictly convex menger PM-spaces ⋮ Common fixed point theorems for self-mappings in Menger PM-spaces with nonlinear contractive condition ⋮ Fixed point theorems for non-self mappings with nonlinear contractive condition in strictly convex Menger \(PM\)-spaces ⋮ Unnamed Item ⋮ Altering distances and a common fixed point theorem in Menger probabilistic metric spaces ⋮ A characterisation of completeness of b-fuzzy metric spaces and nonlinear contractions

Cites Work

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• A fixed point theorem in Menger space through weak compatibility
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• Common fixed point theorems in intuitionistic fuzzy metric spaces and \(\mathcal L\)-fuzzy metric spaces with nonlinear contractive condition
• Nonlinear contraction theorems in probabilistic spaces
• Commuting Mappings and Fixed Points
• Fixed point theorems in probabilistic analysis
• On Nonlinear Contractions
• Complete probabilistic metric spaces
• Fixed points of contraction mappings on probabilistic metric spaces
• Statistical Metrics

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