Pointwise Contraction Criteria for the Existence of Fixed Points
- 1 March 1978
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 21 (1) , 7-11
- https://doi.org/10.4153/cmb-1978-002-8
Abstract
We show that, in a complete metric space, every selfmap that is a “weak directional contraction” admits a fixed point.Keywords
This publication has 3 references indexed in Scilit:
- A Note on Lipschitzian Mappings in Convex Metric SpacesCanadian Mathematical Bulletin, 1977
- On the variational principleJournal of Mathematical Analysis and Applications, 1974
- On Fixed and Periodic Points Under Contractive MappingsJournal of the London Mathematical Society, 1962