Geodesic
A CONTRACTION THEOREM IN MENGER PROBABILISTIC METRIC SPACES
SHAKERI, S.1
1 Department of Mathematics Islamic Azad University-Ayatollah Amoly Branch Amol P. O. Box 678, Amol, Iran.
Journal of nonlinear sciences and its applications, Tome 1 (2008) no. 3, p. 189-193.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we consider complete menger probabilistic quasi- metric space and prove a common fixed point theorem for commuting maps in this space.
DOI : 10.22436/jnsa.001.03.07
Classification : 54E70, 54H25
Keywords: Probabilistic metric spaces, menger space, fixed point theorem, commuting maps, triangle norm.

SHAKERI, S. 1

1 Department of Mathematics Islamic Azad University-Ayatollah Amoly Branch Amol P. O. Box 678, Amol, Iran. 
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SHAKERI, S. A CONTRACTION THEOREM IN MENGER PROBABILISTIC METRIC SPACES. Journal of nonlinear sciences and its applications, Tome 1 (2008) no. 3, p. 189-193. doi : 10.22436/jnsa.001.03.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.001.03.07/

[1] Chang, S. S.; Cho, Y. J.; S. M. Kang Nonlinear Operator Theory in Probabilistic Metric Spaces, Nova Science Publishers, Inc., New York, 2001

[2] Hadžić, O.; Pap, E. Fixed Point Theory in PM Spaces, Kluwer Academic Publishers, Dordrecht, 2001

[3] Miheţ, D.; V. Radu On the stability of the additive Cauchy functional equation in random normed spaces, J. Math. Anal. Appl., Volume 343 (2008), pp. 567-572 | DOI

[4] Schweizer, B.; A. Sklar Probabilistic Metric Spaces, Elsevier, North Holand, New York, 1983

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