A note on a common fixed point theorem in probabilistic metric spaces (Q624202)
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scientific article; zbMATH DE number 5848552
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on a common fixed point theorem in probabilistic metric spaces |
scientific article; zbMATH DE number 5848552 |
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A note on a common fixed point theorem in probabilistic metric spaces (English)
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8 February 2011
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The paper nullifies the claim in a theorem, which has been published in \textit{J. K. Kohli} and \textit{S. Vashistha} [Acta Math. Hung. 115, No.~1--2, 37--47 (2007; Zbl 1164.47057)] and which is the probabilistic version of a theorem of Pant. That the result in the theorem is incorrect has been corroborated by some examples. Finally, to obtain the result in the above-mentioned incorrect theorem, the author gives the conditions that have to be added to the hypotheses of the theorem.
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fuzzy metric space
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common fixed point
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\(R\)-weakly commuting mappings
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