Common fixed point theorems in a new fuzzy metric space (Q411125)
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scientific article; zbMATH DE number 6021772
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Common fixed point theorems in a new fuzzy metric space |
scientific article; zbMATH DE number 6021772 |
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Common fixed point theorems in a new fuzzy metric space (English)
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4 April 2012
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Summary: We generalize the Hausdorff fuzzy metric in the sense of Rodríguez-López and Romaguera, and we introduce a new \(M_\infty\) -fuzzy metric, where \(M_\infty\)-fuzzy metric can be thought of as the degree of nearness between two fuzzy sets with respect to any positive real number. Moreover, under \(\phi\)-contraction condition, in the fuzzy metric space, we give some common fixed point theorems for fuzzy mappings.
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