Article contents
Some fixed point theorems
Published online by Cambridge University Press: 09 April 2009
Abstract
Banach's contraction principle guarantees the existence of a unique fixed point for any contractive selfmapping of a complete metric space. This paper considers generalizations of the completeness of the space and of the contractiveness of the mapping and shows that some recent extensions of Banach's theorem carry over to spaces whose topologies are generated by families of quasi-pseudometrics.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 53 , Issue 3 , December 1992 , pp. 304 - 312
- Copyright
- Copyright © Australian Mathematical Society 1992
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