Relation-theoretic nonlinear contractions in an \(\mathcal{F}\)-metric space and applications

DOI10.1007/s12215-020-00528-zzbMath1476.54119OpenAlexW3085466727MaRDI QIDQ2047459

Anita Tomar, Meena Joshi

Publication date: 20 August 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00528-z

zbMATH Keywords

binary relation\(\mathcal{F}\)-metric space\(\mathcal{R}\)-completenessrelation-theoretic contraction

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (3)

On relation-theoretic \(F\)-contractions and applications in \(F\)-metric spaces ⋮ Best proximity points in \(\mathcal{F}\)-metric spaces with applications ⋮ Relation theoretic contractions and their applications in \(b\)-metric like spaces

Cites Work

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• Relation algebras
• Relation-theoretic contraction principle
• On a new generalization of metric spaces
• Fixed point theorems on a metric space endowed with an arbitrary binary relation and applications
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Fixed Point Theory in Distance Spaces
• A Generalization of Banach's Contraction Principle
• Commuting Mappings and Fixed Points
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• Relation-theoretic metrical coincidence theorems
• Some Remarks Concerning Contraction Mappings
• Fixed point under set-valued relation-theoretic nonlinear contractions and application

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