Geodesic
Uniform Contractification
Canadian mathematical bulletin, Tome 21 (1978) no. 1, pp. 93-97

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DOI

Let (X, τ) be a metrizable space and {fn: n = 1,2,...} be a commuting family of continuous mappings on X with a common fixed point ξ ∈ X such that (I) for each k = l, 2, ... and (II) Then for each c ∈ (0,1), there exists a metric d on X inducing the topology τ such that , for all x, y∈X and n = l, 2, .... The above result is also generalized to Tychonoff spaces.
DOI : 10.4153/CMB-1978-014-0
Mots-clés : 54.35, 54.6, 54.85, d-contraction, Lipschitz constant, uniform contractification, topologically uniformly contractifiable 
Tan, Kok-Keong. Uniform Contractification. Canadian mathematical bulletin, Tome 21 (1978) no. 1, pp. 93-97. doi: 10.4153/CMB-1978-014-0
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