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On the Minimal Lipschitz Constant

Published online by Cambridge University Press:  20 November 2018

K. Goebel
K. Goebel*
Affiliation:
Maria Skłodowska - Curie University, Lublin, Poland
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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].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 11 , Issue 1 , April 1968 , pp. 141 - 143
Copyright
Copyright © Canadian Mathematical Society 1968

References

1. Goebel, K., On a property of Lipschitzian transformations Bull. Acad. Polon. Sci. 16 (1968) no. 1 p. 27-28.Google Scholar
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-1965-049-5Google Scholar