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On a family of contractive maps

Published online by Cambridge University Press:  17 April 2009

Milan R. Tasković
Milan R. Tasković
Affiliation:
Prirodno-metemtički facultet, Beograd, Yugoslavia.
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Abstract

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The object of this paper is to study common fixed points of mappings of a complete metric space into itself. The results obtained are generalizations of theorems of Iséki and Ray. An example is given to show that our results are indeed extensions of the theorem of Iséki.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 13 , Issue 2 , October 1975 , pp. 301 - 308
Copyright
Copyright © Australian Mathematical Society 1975

References

[1]Ćirić, Ljubomir B., “On a family of contractive maps and fixed points”, Publ. Inst. Math. (Beograd) (NS) 17 (31) (1974), 45–51.Google Scholar
[2]Iséki, Kiyoshi, “On common fixed points of mappings”, Bull. Austval. Math. Soc. 10 (1974), 365–370.CrossRefGoogle Scholar
[3]Ray, Baidyanath, “Some results on fixed points and their continuity”, Colloq. Math. 27 (1973), 41–48.CrossRefGoogle Scholar
[4]Tasković, Milan R., “Monotonic mappings on ordered sets, a class of inequalities with finite differences and fixed points”, Publ. Inst. Math. (Beograd) (NS) 17 (31) (1974), 163–172.Google Scholar
[5]Tasković, Milan R.. “Eine Abbildung von β-Typus”, Publ. Inst. Math. (Beograd) (NS) 17 (32) (1974), 197–206.Google Scholar
[6]Tasković, Milan R., “A generalization of Banach's contraction principle”, submitted.Google Scholar