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Pointwise Contraction Criteria for the Existence of Fixed Points

Published online by Cambridge University Press:  20 November 2018

Frank H. Clarke
Frank H. Clarke*
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, B.C. V6T 1W5
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Abstract

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We show that, in a complete metric space, every selfmap that is a “weak directional contraction” admits a fixed point.

Keywords

47H10contractionmetric convexityfixed point
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 21 , Issue 1 , 01 March 1978 , pp. 7 - 11
Copyright
Copyright © Canadian Mathematical Society 1978

References

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