A COUNTEREXAMPLE TO COMMON FIXED POINT THEOREM IN PROBABILISTIC QUASI-METRIC SPACE
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Authors
DOREL MIHET
- West University of Timişoara, Faculty of Mathematics and Computer Science; Bv. V. Parvan 4, 300223 Timişoara, Romania.
Abstract
We give a counterexample to the paper ''Common fixed point
theorem in probabilistic quasi-metric space'' published in the first issue of this
journal.
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ISRP Style
DOREL MIHET, A COUNTEREXAMPLE TO COMMON FIXED POINT THEOREM IN PROBABILISTIC QUASI-METRIC SPACE, Journal of Nonlinear Sciences and Applications, 1 (2008), no. 2, 121-122
AMA Style
MIHET DOREL, A COUNTEREXAMPLE TO COMMON FIXED POINT THEOREM IN PROBABILISTIC QUASI-METRIC SPACE. J. Nonlinear Sci. Appl. (2008); 1(2):121-122
Chicago/Turabian Style
MIHET, DOREL. "A COUNTEREXAMPLE TO COMMON FIXED POINT THEOREM IN PROBABILISTIC QUASI-METRIC SPACE." Journal of Nonlinear Sciences and Applications, 1, no. 2 (2008): 121-122
Keywords
- Probabilistic metric spaces
- quasi-metric spaces
- fixed point theorem
- R-weakly commuting maps
- triangle function.
MSC
References
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M. Grabiec, Y. J. Cho, V. Radu, On nonsymmetric topological and probabilistic structures, Nova Publishers ., (2006)
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[2]
Gerald Jungck , Commuting Mappings and Fixed Points, The American Mathematical Monthly, 83(4) (1976), 261-263
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A. R. Shabani, S. Ghasempour, Common fixed point theorem in probabilistic quasi-metric space, J. Nonlinear Sci. Appl. , 1(1) (2008), 31-35
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R. Vasuki, P. Veeramani, Fixed point theorems and Cauchy sequences in fuzzy metric spaces, Fuzzy Sets and Systems, 135 (3) (2003), 415-417