Geodesic
On the Minimal Lipschitz Constant
Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 141-143

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In this paper we give necessary and sufficient conditions that a continuous transformation f: A→A of a metric space A with the metric r should be a contraction with respect to an equivalent metric s. This is the solution of a problem stated by J. S. W. Wong [2]. 
Goebel, K. On the Minimal Lipschitz Constant. Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 141-143. doi: 10.4153/CMB-1968-017-8
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[1] 1. Goebel, K., On a property of Lipschitzian transformations Bull. Acad. Polon. Sci. 16 (1968) no. 1 p. 27-28. Google Scholar

[2] 2. Wong, J.S. W., Some remarks on transformations in metric spaces. Can. Math. Bull. 8 (1965) no. 5 p.659-666.10.4153/CMB-1965-049-5 Google Scholar

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