Non-Archimedean fuzzy metric spaces and Best proximity point theorems
In this paper, we introduce some new classes of proximal contraction mappings and establish best proximity point theorems for such kinds of mappings in a non-Archimedean fuzzy metric space. As consequences of these results, we deduce certain new best proximity and fixed point theorems in partially...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2018-01-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | http://scma.maragheh.ac.ir/article_24627_22f14f4b196640de19b797939e8e6153.pdf |
| Summary: | In this paper, we introduce some new classes of proximal contraction mappings and establish best proximity point theorems for such kinds of mappings in a non-Archimedean fuzzy metric space. As consequences of these results, we deduce certain new best proximity and fixed point theorems in partially ordered non-Archimedean fuzzy metric spaces. Moreover, we present an example to illustrate the usability of the obtained results. |
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| ISSN: | 2322-5807 2423-3900 |