Geodesic
On Fixed and Periodic Points Under Certain Sets of Mappings
Canadian mathematical bulletin, Tome 12 (1969) no. 6, pp. 813-822

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

Let (X, d) be a metric space and f a mapping of X into itself. D.F. Bailey [l] considered a class of mappings f satisfying the condition: ∀x, y ∈ X, x ≠ y, (1.1) where I+ denotes the set of positive integers. 
Holmes, R.D. On Fixed and Periodic Points Under Certain Sets of Mappings. Canadian mathematical bulletin, Tome 12 (1969) no. 6, pp. 813-822. doi: 10.4153/CMB-1969-106-1
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[1] 1. Bailey, D. F., Some theorems on contractive mappings. J. Lond. Math. Soc. 41 (1966) 101–106. Google Scholar

[2] 2. Meyers, P. R., On the converse to the contraction mapping principle. (Ph.D. Thesis, U. of Maryland, 1966). Google Scholar

[3] 3. Sehgal, V. M., A fixed point theorem for local contraction mappings. Amer. Math. Soc. Notices 12 (1965) 461. Google Scholar

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