On the best areas for Kannan system and Chatterjea system in b-metric spaces

DOI10.1080/02331934.2020.1727902zbMath1481.54050OpenAlexW3008766008MaRDI QIDQ4999742

Wei-Shih Du, Ning Lu, Fei He

Publication date: 2 July 2021

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2020.1727902

zbMATH Keywords

\(b\)-metric spaceChatterjea-type mappingKannan-type mappingbest area of Chatterjea systembest area of Kannan system

Mathematics Subject Classification ID

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

Related Items (3)

Fixed point theorems for \(\left( \chi ,F\right)\)-Dass-Gupta contraction mappings in \(b\)-metric spaces with applications to integral equations ⋮ On Ciric type theorems in b-metric spaces ⋮ On a question concerning Meir-Keeler contractions in complete \(b\)-metric spaces

Cites Work

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• On relaxations of contraction constants and Caristi's theorem in \(b\)-metric spaces
• Common fixed point results in metric-type spaces
• Remarks on some fixed point results in \(b\)-metric spaces
• Fixed point theorems in generalized b-metric spaces
• \((\alpha, \psi)\)-Meir-Keeler contraction mappings in generalized \(b\)-metric spaces
• Cyclic quasi-contractions of Ciric type in b-metric spaces

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