Some results on common best proximity point in fuzzy metric
In this paper, we dene the concepts of commute proximally, dominate prox- imally, weakly dominate proximally and common best proximity point in fuzzy metric space (abbreviated, FM-space). We prove some common best proximity point and com- mon xed point theorems for dominate proximally and weakly dom...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2017-03-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/29466 |
| Summary: | In this paper, we dene the concepts of commute proximally, dominate prox-
imally, weakly dominate proximally and common best proximity point in fuzzy metric
space (abbreviated, FM-space). We prove some common best proximity point and com-
mon xed point theorems for dominate proximally and weakly dominate proximally map-
pings in FM-space under certain conditions. Our results generalize many known results
in metric space. |
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| ISSN: | 0037-8712 2175-1188 |