Geodesic
Periodic Points and Contractive Mappings
Canadian mathematical bulletin, Tome 17 (1974) no. 2, pp. 209-211

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

Let X be a non-empty set and f:X→X. A point x ∈ X is (i) a fixed point off f(x)=x, and (ii) a periodic point of f iff there is a positive integer N such that fN(x)=x. Also a periodic orbit of f is the (finite) set {x, f(x), f2(x),...} where x is a periodic point of f. 
Hsieh, Tsu-Teh; Tan, Kok-Keong. Periodic Points and Contractive Mappings. Canadian mathematical bulletin, Tome 17 (1974) no. 2, pp. 209-211. doi: 10.4153/CMB-1974-042-3
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[1] 1. Bryant, J. and Guseman, L. F. Jr, Fixed points of subcontractive mappings. To appear. Google Scholar

[2] 2. Edelstein, M., On fixed and periodic points under contractive mappings, J. London Math. Soc. 37 (1962), pp. 74-79. Google Scholar

[3] 3. Ng, K. W., A remark on contractive mappings, Canadian Math. Bull. 13 (1970), pp. 111-113. Google Scholar

[4] 4. Tan, K. K., Fixed point theorems for nonexpansive mappings, Pacific J. Math. 14 (1972), pp. 829-842. Google Scholar

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