J Austral Math Soc Ser A 53 pp304--312, 1992.

Some Fixed Point Theorems

P. V. Subrahmanyam and I. L. Reilly

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.

1991 AMS Subject Classification: primary 47H10, 54H25; secondary 54E40

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Authors

P. V. Subrahmanyam

Department of Mathematics, Indian Institute of Technology, Madras 600 036, India.

I. L. Reilly

Department of Mathematics and Statistics, University of Auckland, New Zealand.