Some common fixed point theorems in fuzzy metric spaces using implicit relations (Q2908098)
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scientific article; zbMATH DE number 6076501
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some common fixed point theorems in fuzzy metric spaces using implicit relations |
scientific article; zbMATH DE number 6076501 |
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4 September 2012
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compatible maps of type \((\alpha )\)
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complete fuzzy metric spaces
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weakly compatible maps
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implicit relation
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common fixed point
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Some common fixed point theorems in fuzzy metric spaces using implicit relations (English)
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The authors define an implicit relation in fuzzy metric spaces for proving several common fixed point theorems involving four mappings of which a pair is weakly compatible and the other pair is formed from invertible selfmaps. Another result involves the continuity of the four mappings forming two compatible pairs of type (\(\alpha\)) (for this concept, see, e.g., \textit{Y. J. Cho, H. K. Pathak, S. M. Kang} and \textit{J. S. Jung} [Fuzzy Sets Syst. 93, No. 1, 99--111 (1998; Zbl 0915.54004)].
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