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On common fixed point theorems

Published online by Cambridge University Press:  17 April 2009

S.P. Singh  and
B.A. Meade
S.P. Singh
Affiliation:
Department of Mathematics, Statistics and Computer Science, Memorial University of Newfoundland, St John's, Newfoundland, Canada.
B.A. Meade
Affiliation:
Department of Mathematics, Statistics and Computer Science, Memorial University of Newfoundland, St John's, Newfoundland, Canada.
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Abstract

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The aim of this paper is to extend a recent result of S.A. Husain and V.M. Sehgal [Bull. Austral. Math. Soc. 13 (1975), 261–267]. The condition that the function should be continuous in Husain and Sehgal, op. cit., is replaced by a semicontinuity condition. Moreover, a different proof is given, the last part of which requires no continuity or semicontinuity condition whatsoever.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 16 , Issue 1 , February 1977 , pp. 49 - 53
Copyright
Copyright © Australian Mathematical Society 1977

References

[1]Husain, S.A. and Sehgal, V.M., “On common fixed points for a family of mappings”, Bull. Austral. Math. Soc. 13 (1975), 261–267.CrossRefGoogle Scholar