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A Remark on Contractive Mappings

Published online by Cambridge University Press:  20 November 2018

Kai-Wang Ng
Kai-Wang Ng*
Affiliation:
University of Alberta, Edmonton, Alberta
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Extract

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Much current research is concerned with the fixed points of contractive mappings (mappings which shrink distance in some manner) from a metric space into itself. In this remark we shall point out that most mappings treated in the literature are very special in the sense that all these mappings satisfy a condition which is rather severe: every periodic point must necessarily be a fixed point.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 13 , Issue 1 , March 1970 , pp. 111 - 113
Copyright
Copyright © Canadian Mathematical Society 1970

Footnotes

(1)

This is an extract from the author's M.Sc. thesis. The author gratefully acknowledges the help given by his supervisor, Professor T. D. Rogers.

References

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