A new extension of Kannan’s fixed point theorem via F-contraction with application to integral equations

DOI10.1142/S1793557122501236zbMath1504.54031OpenAlexW3199917853MaRDI QIDQ5876739

Pradip Debnath

Publication date: 2 February 2023

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557122501236

zbMATH Keywords

integral equationfixed pointcomplete metric space\(F\)-contraction

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Cites Work

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• Fixed points of a new type of contractive mappings in complete metric spaces
• Fixed point theorems for Reich type contractions on metric spaces with a graph
• Completeness and fixed-points
• Interpolative Reich-Rus-Ćirić type contractions on partial metric spaces
• Fixed point theorems for Kannan type mappings
• On extended interpolative Ćirić-Reich-Rus type \(F\)-contractions and an application
• Set valued Reich type \(G\)-contractions in a complete metric space with graph
• A Kannan-like contraction in partially ordered spaces
• Some Remarks Concerning Contraction Mappings

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