A CONTRACTION THEOREM IN MENGER PROBABILISTIC METRIC SPACES
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Authors
S. SHAKERI
- Department of Mathematics Islamic Azad University-Ayatollah Amoly Branch Amol P. O. Box 678, Amol, Iran..
Abstract
In this paper, we consider complete menger probabilistic quasi-
metric space and prove a common fixed point theorem for commuting maps in
this space.
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ISRP Style
S. SHAKERI, A CONTRACTION THEOREM IN MENGER PROBABILISTIC METRIC SPACES, Journal of Nonlinear Sciences and Applications, 1 (2008), no. 3, 189-193
AMA Style
SHAKERI S., A CONTRACTION THEOREM IN MENGER PROBABILISTIC METRIC SPACES. J. Nonlinear Sci. Appl. (2008); 1(3):189-193
Chicago/Turabian Style
SHAKERI, S.. "A CONTRACTION THEOREM IN MENGER PROBABILISTIC METRIC SPACES." Journal of Nonlinear Sciences and Applications, 1, no. 3 (2008): 189-193
Keywords
- Probabilistic metric spaces
- menger space
- fixed point theorem
- commuting maps
- triangle norm.
MSC
References
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[1]
S. S. Chang,Y. J. Cho, S. M. Kang , Nonlinear Operator Theory in Probabilistic Metric Spaces, Nova Science Publishers, Inc., New York (2001)
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[2]
O. Hadžić, E. Pap, Fixed Point Theory in PM Spaces, Kluwer Academic Publishers, Dordrecht (2001)
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[3]
D. Miheţ, V. Radu , On the stability of the additive Cauchy functional equation in random normed spaces, J. Math. Anal. Appl., 343 (2008), 567-572
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[4]
B. Schweizer, A. Sklar , Probabilistic Metric Spaces, Elsevier, North Holand, New York (1983)