Geodesic
A Remark on Contractive Mappings
Canadian mathematical bulletin, Tome 13 (1970) no. 1, pp. 111-113

Voir la notice de l'article provenant de la source Cambridge University Press

Much current research is concerned with the fixed points of contractive mappings (mappings which shrink distance in some manner) from a metric space into itself. In this remark we shall point out that most mappings treated in the literature are very special in the sense that all these mappings satisfy a condition which is rather severe: every periodic point must necessarily be a fixed point. 
Ng, Kai-Wang. A Remark on Contractive Mappings. Canadian mathematical bulletin, Tome 13 (1970) no. 1, pp. 111-113. doi: 10.4153/CMB-1970-022-9
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