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Some fixed point theorems
Part of
P. V. Subrahmanyam, I. L. Reilly
Journal:

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics / Volume 53 / Issue 3 / December 1992

Published online by Cambridge University Press:

09 April 2009, pp. 304-312

Print publication:

December 1992
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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.

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Some fixed point theorems