We consider the problem of finding a best proximity point which achieves the minimum distance between two nonempty sets in a non-Archimedean fuzzy metric space. First we prove the existence and uniqueness of the best proximity point by using di fferent contractive conditions, then we present some examples to support our best proximity point theorems.
Salimi, P., Vetro, C. (2013). Best Proximity Point Results in Non-Archimedean Fuzzy Metric Spaces. FUZZY INFORMATION AND ENGINEERING, 5(4), 417-429 [10.1007/s12543-013-0155-z].
Best Proximity Point Results in Non-Archimedean Fuzzy Metric Spaces
VETRO, Calogero
2013-01-01
Abstract
We consider the problem of finding a best proximity point which achieves the minimum distance between two nonempty sets in a non-Archimedean fuzzy metric space. First we prove the existence and uniqueness of the best proximity point by using di fferent contractive conditions, then we present some examples to support our best proximity point theorems.
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