Geodesic
Contractive mappings are Kannan mappings, and Kannan mappings are contractive mappings in some sense
Commentationes Mathematicae, Tome 45 (2005) no. 1, pp. 43-56.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In this paper, we prove that a mapping \(T\) on a metric space is contractive with respect to a \(\tau\)-distance if and only if it is Kannan with respect to a \(\tau\)-distance.
DOI : 10.14708/cm.v45i1.5227
Mots-clés : Contractive mapping, Kannan mapping, \(\tau\)-distance, fixed point 
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Tomonari Suzuki. Contractive mappings are Kannan mappings, and Kannan mappings are contractive mappings in some sense. Commentationes Mathematicae, Tome 45 (2005) no. 1, pp.  43-56. doi : 10.14708/cm.v45i1.5227. http://geodesic.mathdoc.fr/articles/10.14708/cm.v45i1.5227/

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