A Banach contraction theorem in fuzzy metric spaces
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Publication:1876519
DOI10.1016/S0165-0114(03)00305-1zbMath1052.54010OpenAlexW2125060145MaRDI QIDQ1876519
Publication date: 20 August 2004
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0165-0114(03)00305-1
Fixed-point and coincidence theorems (topological aspects) (54H25) Fuzzy topology (54A40) Probabilistic metric spaces (54E70)
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Cites Work
- The metrization of statistical metric spaces
- Fixed points in fuzzy metric spaces
- On some results of analysis for fuzzy metric spaces
- A common fixed point theorem in a fuzzy metric space
- On fixed-point theorems in fuzzy metric spaces
- A fixed point theorem for multivalued mappings in probabilistic metric spaces and an application in fuzzy metric spaces
- Common fixed point theorems in fuzzy metric spaces
- On completion of fuzzy metric spaces
- Comments on `A common fixed point theorem in a fuzzy metric space'
- Fixed point theorems and Cauchy sequences in fuzzy metric spaces
- Fixed point theorems for nonexpansive mappings in linear topological spaces
- Complete probabilistic metric spaces
- Fixed points of contraction mappings on probabilistic metric spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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