Ordered non-Archimedean fuzzy metric spaces and some fixed point results (Q963619)
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scientific article; zbMATH DE number 5692356
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ordered non-Archimedean fuzzy metric spaces and some fixed point results |
scientific article; zbMATH DE number 5692356 |
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Ordered non-Archimedean fuzzy metric spaces and some fixed point results (English)
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13 April 2010
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In this paper, the authors introduce the concept of fuzzy order \(\psi\)-contractive mappings and prove two fixed point theorems on ordered non-Archimedean fuzzy metric spaces for fuzzy order \(\psi\)-contractive type mappings. The authors also prove a common fixed point theorem for weakly increasing single-valued mappings in a complete fuzzy metric space endowed with a partial order induced by an appropriate function. They discuss Kirk's problem on an extension of Caristi's theorem.
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