A contractive mappings on fuzzy normed linear spaces
In this paper, we use the definition of fuzzy normed spaces given by Bag and Samanta and provide four types of fuzzy versions of contraction. We show that these mappings necessarily have unique fixed points in fuzzy normed linear spaces. We will show that the presented theorems are indeed fuz...
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| Format: | Article |
| Language: | English |
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Ferdowsi University of Mashhad
2016-02-01
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| Series: | Iranian Journal of Numerical Analysis and Optimization |
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| Online Access: | https://ijnao.um.ac.ir/article_24471_313316f842b7e59229f4d7e503dd7d19.pdf |
| Summary: | In this paper, we use the definition of fuzzy normed spaces given by Bag and Samanta and provide four types of fuzzy versions of contraction. We show that these mappings necessarily have unique fixed points in fuzzy normed linear spaces. We will show that the presented theorems are indeed fuzzy extensions of their classical counterparts. |
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| ISSN: | 2423-6977 2423-6969 |