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On common fixed points for a family of mappings

Published online by Cambridge University Press:  17 April 2009

S.A. Husain  and
V.M. Sehgal
S.A. Husain
Affiliation:
Department of Mathematics, University of Wyoming, Laramie, Wyoming, USA.
V.M. Sehgal
Affiliation:
Department of Mathematics, University of Wyoming, Laramie, Wyoming, USA.
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Abstract

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The purpose of this paper is to obtain some common fixed point theorems for a family of mappings in a complete metric space. The results herein improve some of the recent theorems of Kiyoshi Iséki (Bull. Austral. Math. Soc. 10 (1974), 365–370).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 13 , Issue 2 , October 1975 , pp. 261 - 267
Copyright
Copyright © Australian Mathematical Society 1975

References

[1]Iséki, Kiyoshi, “On common fixed points of mappings”, Bull. Austral. Math. Soc. 10 (1974), 365–370.CrossRefGoogle Scholar
[2]Reich, Simeon, “Some remarks concerning contraction mappings”, Canad. Math. Bull. 14 (1971), 121–124.CrossRefGoogle Scholar
[3]Sehgal, V.M., “On fixed and periodic points for a class of mappings”, J. London Math. Soc. (2) 5 (1972), 571–576.CrossRefGoogle Scholar
[4]Sehgal, V.M., “Some fixed and common fixed point theorems in metric spaces”, Canad. Math. Bull. 17 (1974), 257–259.Google Scholar
[5]Srivastava, Pramila and Gupta, Vijay Kumar, “A note on common fixed points”, Yokohama Math. J. 19 (1971), 91–95.Google Scholar