Various extensions of Kannan's fixed point theorem
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Publication:1742533
DOI10.1007/s11784-018-0500-2zbMath1489.54123OpenAlexW2793800406MaRDI QIDQ1742533
Publication date: 11 April 2018
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-018-0500-2
fixed pointcomplete metric spaceasymptotic regularityiterationsapproximating sequencecontrol functionKannan mapping
Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)
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Cites Work
- A continuation method for weakly Kannan maps
- Completeness and fixed-points
- A connection between fixed-point theorems and tiling problems
- Fixed point theorems for Kannan type mappings
- A generalization of the Banach contraction principle
- A Note on Contractive Mappings
- Two Results on Jachymski–Schröder–Stein Contractions
- A Generalization of a Fixed Point Theorem of Goebel, Kirk and Shimi
- Some Remarks Concerning Contraction Mappings
- On Contractive Mappings
- An intuitionist correction of the fixed-point theorem on the sphere
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