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Common fixed point theorems in complete metric and probabilistic metric spaces

Published online by Cambridge University Press:  17 April 2009

Mila Stojakovic
Mila Stojakovic
Affiliation:
University of Novi Sad, Faculty of Technical Sciences, Department of Mathematics, Veljka Vlahovića 3, 21000 Novi Sad, Yugoslavia
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Abstract

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In this paper several common fixed point theorems for four continuous mappings in Menger and metric spaces are proved. These mappings are assumed to satisfy some generalizations of the contraction condition.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 36 , Issue 1 , August 1987 , pp. 73 - 88
Copyright
Copyright © Australian Mathematical Society 1987

References

[1]Chang, Shih-Sen, “A common fixed point theorem for commuting mappings”, Proc. Amer. Math. Soc., 83 (1981), 645–652.CrossRefGoogle Scholar
[2]Ding, Xie Ping, “New results on common fixed points”, Math. Sem. Notes Kobe Univ., 10 (1982), 623–631.Google Scholar
[3]Fischer, B., Iseki, K., “Fixed points for set-valued mappings on complete and compact metric space”, Mat. Japon. 28 (1983), 639–646.Google Scholar
[4]Fischer, B., “Common fixed points of four mappings”, Bull. Inst. Math. Acad. Sinica, 11 (1983), 103–113.Google Scholar
[5]Hadzić, O., “Common fixed point theorems for family of mappings in complete metric spaces”, Math. Japon. 29 (1984), 124–134.Google Scholar
[6]Hadzić, O., Fixed point theory in topological vector spaces, (Univ. of Novi Sad, Inst. of Math., Novi Sad, 1984).Google Scholar
[7]Kasahara, S., Rhoades, B.E., “Common fixed point theorems in compact metric spaces”, Math. Japon. 23, No. 2, (1978), 227–229.Google Scholar
[8]Rhoades, B.E., “A comparison of various definitions of contractive mappings”, Trans. Amer. Math. Soc., 226 (1977), 257–290.CrossRefGoogle Scholar
[9]Schweizer, B., Sklar, A., “Statistical metric spaces”, Pacific J. Math., 10 (1960), 313–324.CrossRefGoogle Scholar
[10]Sherwood, H., “On E-spaces and their relation to other classes of probabilistic metric spaces”, J. London Math. Soc., 44 (1969), 441–449.CrossRefGoogle Scholar
[11]Stojaković, M., “Fixed point theorems in probabilistic metric spaces” Kobe J. Math., 2 (1985). 1–9.Google Scholar
[12]Stojaković, M., “A common fixed point for the commuting mappings”, Indian J. Pure Appl. Math., 17 (1986), 446–475.Google Scholar